2500881600 has 504 divisors, whose sum is σ = 9881177088. Its totient is φ = 553190400.

The previous prime is 2500881589. The next prime is 2500881601. The reversal of 2500881600 is 61880052.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2500881601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80673585 + ... + 80673615.

Almost surely, 2^2500881600 is an apocalyptic number.

2500881600 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 2500881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940588544).

2500881600 is an abundant number, since it is smaller than the sum of its proper divisors (7380295488).

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

2500881600 is an frugal number, since it uses more digits than its factorization.

2500881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 2500881600 is about 50008.8152229184. The cubic root of 2500881600 is about 1357.3683249197.

The spelling of 2500881600 in words is "two billion, five hundred million, eight hundred eighty-one thousand, six hundred".