2665656000 has 896 divisors, whose sum is σ = 11716024320. Its totient is φ = 580608000.

The previous prime is 2665655987. The next prime is 2665656013. The reversal of 2665656000 is 6565662.

2665656000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2665655987) and next prime (2665656013).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 61991979 + ... + 61992021.

It is an arithmetic number, because the mean of its divisors is an integer number (13075920).

Almost surely, 2^2665656000 is an apocalyptic number.

2665656000 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 2665656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5858012160).

2665656000 is an abundant number, since it is smaller than the sum of its proper divisors (9050368320).

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

2665656000 is a wasteful number, since it uses less digits than its factorization.

2665656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2665656000 is about 51629.9912841364. The cubic root of 2665656000 is about 1386.5473372824.

The spelling of 2665656000 in words is "two billion, six hundred sixty-five million, six hundred fifty-six thousand".