2651616608256 has 512 divisors, whose sum is σ = 9795395865600. Its totient is φ = 688713891840.

The previous prime is 2651616608149. The next prime is 2651616608257. The reversal of 2651616608256 is 6528066161562.

2651616608256 is a `hidden beast` number, since 2 + 6 + 5 + 1 + 6 + 1 + 6 + 608 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2651616608257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68105211 + ... + 68144133.

It is an arithmetic number, because the mean of its divisors is an integer number (19131632550).

Almost surely, 2^{2651616608256} 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 2651616608256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897697932800).

2651616608256 is an abundant number, since it is smaller than the sum of its proper divisors (7143779257344).

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

2651616608256 is an equidigital number, since it uses as much as digits as its factorization.

2651616608256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38980 (or 38946 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 2651616608256 in words is "two trillion, six hundred fifty-one billion, six hundred sixteen million, six hundred eight thousand, two hundred fifty-six".