2656765440 has 960 divisors, whose sum is σ = 12059942400. Its totient is φ = 541458432.

The previous prime is 2656765411. The next prime is 2656765453. The reversal of 2656765440 is 445676562.

2656765440 is a `hidden beast` number, since 26 + 567 + 65 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 139829751 + ... + 139829769.

It is an arithmetic number, because the mean of its divisors is an integer number (12562440).

Almost surely, 2^2656765440 is an apocalyptic number.

2656765440 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 2656765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6029971200).

2656765440 is an abundant number, since it is smaller than the sum of its proper divisors (9403176960).

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

2656765440 is a wasteful number, since it uses less digits than its factorization.

2656765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 2656765440 is about 51543.8205801627. The cubic root of 2656765440 is about 1385.0041383621.

The spelling of 2656765440 in words is "two billion, six hundred fifty-six million, seven hundred sixty-five thousand, four hundred forty".