2665757952 has 720 divisors, whose sum is σ = 9972103680. Its totient is φ = 696729600.

The previous prime is 2665757933. The next prime is 2665757999. The reversal of 2665757952 is 2597575662.

2665757952 is a `hidden beast` number, since 2 + 6 + 65 + 7 + 579 + 5 + 2 = 666.

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

Its product of digits (7938000) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 85992177 + ... + 85992207.

It is an arithmetic number, because the mean of its divisors is an integer number (13850144).

Almost surely, 2^2665757952 is an apocalyptic number.

2665757952 is a gapful number since it is divisible by the number (22) 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 2665757952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986051840).

2665757952 is an abundant number, since it is smaller than the sum of its proper divisors (7306345728).

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

2665757952 is a wasteful number, since it uses less digits than its factorization.

2665757952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its digits is 7938000, while the sum is 54.

The square root of 2665757952 is about 51630.9786078087. The cubic root of 2665757952 is about 1386.5650139158.

The spelling of 2665757952 in words is "two billion, six hundred sixty-five million, seven hundred fifty-seven thousand, nine hundred fifty-two".