2506045140 has 72 divisors (see below), whose sum is σ = 8048837160. Its totient is φ = 628967424.

The previous prime is 2506045099. The next prime is 2506045169. The reversal of 2506045140 is 415406052.

2506045140 is a `hidden beast` number, since 2 + 5 + 0 + 604 + 51 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 291589776 + 2214455364 = 17076^2 + 47058^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406425 + ... + 412544.

It is an arithmetic number, because the mean of its divisors is an integer number (111789405).

Almost surely, 2^2506045140 is an apocalyptic number.

2506045140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506045140 is an abundant number, since it is smaller than the sum of its proper divisors (5542792020).

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

2506045140 is a wasteful number, since it uses less digits than its factorization.

2506045140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819001 (or 818996 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2506045140 is about 50060.4149003981. The cubic root of 2506045140 is about 1358.3018633815.

The spelling of 2506045140 in words is "two billion, five hundred six million, forty-five thousand, one hundred forty".