2688256512 has 480 divisors, whose sum is σ = 9008423424. Its totient is φ = 796262400.

The previous prime is 2688256511. The next prime is 2688256559. The reversal of 2688256512 is 2156528862.

It is a happy number.

2688256512 is a `hidden beast` number, since 2 + 6 + 8 + 82 + 56 + 512 = 666.

It is a super-2 number, since 2×2688256512² = 14453446148620812288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688256511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65567212 + ... + 65567252.

Almost surely, 2^2688256512 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 2688256512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504211712).

2688256512 is an abundant number, since it is smaller than the sum of its proper divisors (6320166912).

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

2688256512 is an equidigital number, since it uses as much as digits as its factorization.

2688256512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 94 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 2688256512 is about 51848.3993195547. The cubic root of 2688256512 is about 1390.4548848487.

The spelling of 2688256512 in words is "two billion, six hundred eighty-eight million, two hundred fifty-six thousand, five hundred twelve".