2605765032 has 384 divisors, whose sum is σ = 8767920000. Its totient is φ = 714894336.

The previous prime is 2605765021. The next prime is 2605765039. The reversal of 2605765032 is 2305675062.

It is a happy number.

2605765032 is a `hidden beast` number, since 2 + 6 + 0 + 576 + 50 + 32 = 666.

It is a super-2 number, since 2×2605765032² = 13580022803987922048, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2605765039) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137145519 + ... + 137145537.

It is an arithmetic number, because the mean of its divisors is an integer number (22833125).

Almost surely, 2^2605765032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2605765032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383960000).

2605765032 is an abundant number, since it is smaller than the sum of its proper divisors (6162154968).

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

2605765032 is a wasteful number, since it uses less digits than its factorization.

2605765032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 2605765032 is about 51046.6946236483. The cubic root of 2605765032 is about 1376.0844393941.

The spelling of 2605765032 in words is "two billion, six hundred five million, seven hundred sixty-five thousand, thirty-two".