2512800880128 has 400 divisors, whose sum is σ = 9350722301184. Its totient is φ = 652674723840.

The previous prime is 2512800880127. The next prime is 2512800880147. The reversal of 2512800880128 is 8210880082152.

2512800880128 is a `hidden beast` number, since 2 + 512 + 8 + 0 + 0 + 8 + 8 + 0 + 128 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512800880127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2799901 + ... + 3586787.

Almost surely, 2^{2512800880128} is an apocalyptic number.

2512800880128 is a gapful number since it is divisible by the number (28) 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 2512800880128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675361150592).

2512800880128 is an abundant number, since it is smaller than the sum of its proper divisors (6837921421056).

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

2512800880128 is an equidigital number, since it uses as much as digits as its factorization.

2512800880128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786935 (or 786910 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 2512800880128 in words is "two trillion, five hundred twelve billion, eight hundred million, eight hundred eighty thousand, one hundred twenty-eight".