2502906000 has 320 divisors, whose sum is σ = 9626812416. Its totient is φ = 547008000.

The previous prime is 2502905963. The next prime is 2502906011. The reversal of 2502906000 is 6092052.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 964705 + ... + 967295.

Almost surely, 2^2502906000 is an apocalyptic number.

2502906000 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 2502906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4813406208).

2502906000 is an abundant number, since it is smaller than the sum of its proper divisors (7123906416).

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

2502906000 is a wasteful number, since it uses less digits than its factorization.

2502906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2502906000 is about 50029.0515600686. The cubic root of 2502906000 is about 1357.7344778435.

Adding to 2502906000 its reverse (6092052), we get a palindrome (2508998052).

The spelling of 2502906000 in words is "two billion, five hundred two million, nine hundred six thousand".