2506735152 has 30 divisors (see below), whose sum is σ = 7015377252. Its totient is φ = 835578336.

The previous prime is 2506735139. The next prime is 2506735157. The reversal of 2506735152 is 2515376052.

2506735152 is a `hidden beast` number, since 250 + 6 + 7 + 351 + 52 = 666.

2506735152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2506735152² = 12567442244544926208, 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 (2506735157) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8703798 + ... + 8704085.

Almost surely, 2^2506735152 is an apocalyptic number.

It is an amenable number.

2506735152 is an abundant number, since it is smaller than the sum of its proper divisors (4508642100).

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

2506735152 is a wasteful number, since it uses less digits than its factorization.

2506735152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17407897 (or 17407888 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 2506735152 is about 50067.3062187292. The cubic root of 2506735152 is about 1358.4265164406.

The spelling of 2506735152 in words is "two billion, five hundred six million, seven hundred thirty-five thousand, one hundred fifty-two".