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2523420000 = 2533544673
BaseRepresentation
bin1001011001101000…
…0101010101100000
320111212021000111000
42112122011111200
520131443420000
61054221352000
7116350500423
oct22632052540
96455230430
102523420000
11108544a882
125a5108600
13312a3c43a
1419d1c99ba
15eb805000
hex96685560

2523420000 has 240 divisors, whose sum is σ = 9198992880. Its totient is φ = 672768000.

The previous prime is 2523419959. The next prime is 2523420013. The reversal of 2523420000 is 243252.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 537664 + ... + 542336.

It is an arithmetic number, because the mean of its divisors is an integer number (38329137).

Almost surely, 22523420000 is an apocalyptic number.

2523420000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2523420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599496440).

2523420000 is an abundant number, since it is smaller than the sum of its proper divisors (6675572880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2523420000 is an equidigital number, since it uses as much as digits as its factorization.

2523420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2523420000 is about 50233.6540578127. The cubic root of 2523420000 is about 1361.4337532453.

Adding to 2523420000 its reverse (243252), we get a palindrome (2523663252).

The spelling of 2523420000 in words is "two billion, five hundred twenty-three million, four hundred twenty thousand".