2665042560 has 320 divisors, whose sum is σ = 9630462600. Its totient is φ = 702259200.

The previous prime is 2665042507. The next prime is 2665042561. The reversal of 2665042560 is 652405662.

2665042560 is a `hidden beast` number, since 2 + 6 + 6 + 50 + 42 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2665037376 + 5184 = 51624^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2665042560² = 14204903693222707200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2665042561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5235586 + ... + 5236094.

Almost surely, 2^2665042560 is an apocalyptic number.

2665042560 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 2665042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815231300).

2665042560 is an abundant number, since it is smaller than the sum of its proper divisors (6965420040).

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

2665042560 is a wasteful number, since it uses less digits than its factorization.

2665042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2665042560 is about 51624.0502091806. The cubic root of 2665042560 is about 1386.4409683619.

The spelling of 2665042560 in words is "two billion, six hundred sixty-five million, forty-two thousand, five hundred sixty".