2656655117640 has 1152 divisors, whose sum is σ = 9795789993600. Its totient is φ = 622318878720.

The previous prime is 2656655117617. The next prime is 2656655117653. The reversal of 2656655117640 is 467115566562.

2656655117640 is a `hidden beast` number, since 2 + 6 + 5 + 6 + 65 + 511 + 7 + 64 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23510222224 + ... + 23510222336.

It is an arithmetic number, because the mean of its divisors is an integer number (8503289925).

Almost surely, 2^{2656655117640} is an apocalyptic number.

2656655117640 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 2656655117640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897894996800).

2656655117640 is an abundant number, since it is smaller than the sum of its proper divisors (7139134875960).

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

2656655117640 is a wasteful number, since it uses less digits than its factorization.

2656655117640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 2656655117640 in words is "two trillion, six hundred fifty-six billion, six hundred fifty-five million, one hundred seventeen thousand, six hundred forty".