2656036471104 has 896 divisors, whose sum is σ = 8639543808000. Its totient is φ = 797257728000.

The previous prime is 2656036471097. The next prime is 2656036471117. The reversal of 2656036471104 is 4011746306562.

2656036471104 is a `hidden beast` number, since 2 + 6 + 560 + 3 + 6 + 4 + 71 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2656036471104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14838192487 + ... + 14838192665.

It is an arithmetic number, because the mean of its divisors is an integer number (9642348000).

Almost surely, 2^{2656036471104} is an apocalyptic number.

2656036471104 is a gapful number since it is divisible by the number (24) 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 2656036471104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319771904000).

2656036471104 is an abundant number, since it is smaller than the sum of its proper divisors (5983507336896).

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

2656036471104 is a wasteful number, since it uses less digits than its factorization.

2656036471104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2656036471104 in words is "two trillion, six hundred fifty-six billion, thirty-six million, four hundred seventy-one thousand, one hundred four".