2657264040 has 96 divisors (see below), whose sum is σ = 8720075520. Its totient is φ = 701714304.

The previous prime is 2657264023. The next prime is 2657264041. The reversal of 2657264040 is 404627562.

2657264040 is a `hidden beast` number, since 2 + 6 + 5 + 7 + 2 + 640 + 4 + 0 = 666.

It is a super-2 number, since 2×2657264040² = 14122104356554243200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2657263986 and 2657264004.

It is not an unprimeable number, because it can be changed into a prime (2657264041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1249 + ... + 72911.

It is an arithmetic number, because the mean of its divisors is an integer number (90834120).

Almost surely, 2^2657264040 is an apocalyptic number.

2657264040 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 2657264040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360037760).

2657264040 is an abundant number, since it is smaller than the sum of its proper divisors (6062811480).

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

2657264040 is a wasteful number, since it uses less digits than its factorization.

2657264040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71783 (or 71776 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2657264040 is about 51548.6570145140. The cubic root of 2657264040 is about 1385.0907750241.

The spelling of 2657264040 in words is "two billion, six hundred fifty-seven million, two hundred sixty-four thousand, forty".