2542513536 has 160 divisors (see below), whose sum is σ = 7604399880. Its totient is φ = 843264000.

The previous prime is 2542513517. The next prime is 2542513537. The reversal of 2542513536 is 6353152452.

2542513536 is a `hidden beast` number, since 2 + 54 + 251 + 353 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2542513536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542513537) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2601880 + ... + 2602856.

Almost surely, 2^2542513536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542513536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802199940).

2542513536 is an abundant number, since it is smaller than the sum of its proper divisors (5061886344).

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

2542513536 is an equidigital number, since it uses as much as digits as its factorization.

2542513536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1233 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 2542513536 is about 50423.3431656411. The cubic root of 2542513536 is about 1364.8589058364.

Adding to 2542513536 its reverse (6353152452), we get a palindrome (8895665988).

The spelling of 2542513536 in words is "two billion, five hundred forty-two million, five hundred thirteen thousand, five hundred thirty-six".