2656646313840 has 480 divisors, whose sum is σ = 9415286549760. Its totient is φ = 696019433472.

The previous prime is 2656646313829. The next prime is 2656646313889. The reversal of 2656646313840 is 483136466562.

2656646313840 is a `hidden beast` number, since 2 + 6 + 5 + 6 + 6 + 463 + 138 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 532711827 + ... + 532716813.

It is an arithmetic number, because the mean of its divisors is an integer number (19615180312).

Almost surely, 2^{2656646313840} is an apocalyptic number.

2656646313840 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 2656646313840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4707643274880).

2656646313840 is an abundant number, since it is smaller than the sum of its proper divisors (6758640235920).

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

2656646313840 is a wasteful number, since it uses less digits than its factorization.

2656646313840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5491 (or 5473 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 2656646313840 in words is "two trillion, six hundred fifty-six billion, six hundred forty-six million, three hundred thirteen thousand, eight hundred forty".