2500956000 has 576 divisors, whose sum is σ = 9616029696. Its totient is φ = 637632000.

The previous prime is 2500955999. The next prime is 2500956011. The reversal of 2500956000 is 6590052.

2500956000 is a `hidden beast` number, since 2 + 50 + 0 + 9 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 30131959 + ... + 30132041.

It is an arithmetic number, because the mean of its divisors is an integer number (16694496).

Almost surely, 2^2500956000 is an apocalyptic number.

2500956000 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 2500956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808014848).

2500956000 is an abundant number, since it is smaller than the sum of its proper divisors (7115073696).

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

2500956000 is an equidigital number, since it uses as much as digits as its factorization.

2500956000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 2500956000 is about 50009.5590862387. The cubic root of 2500956000 is about 1357.3817851333.

The spelling of 2500956000 in words is "two billion, five hundred million, nine hundred fifty-six thousand".