2505790035 has 96 divisors (see below), whose sum is σ = 5133173760. Its totient is φ = 1106866944.

The previous prime is 2505790009. The next prime is 2505790051. The reversal of 2505790035 is 5300975052.

2505790035 is a `hidden beast` number, since 2 + 50 + 579 + 0 + 0 + 35 = 666.

2505790035 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2505790035 - 2⁸ = 2505789779 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1899106 + ... + 1900424.

It is an arithmetic number, because the mean of its divisors is an integer number (53470560).

Almost surely, 2^2505790035 is an apocalyptic number.

2505790035 is an abundant number, since it is smaller than the sum of its proper divisors (2627383725).

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

2505790035 is a wasteful number, since it uses less digits than its factorization.

2505790035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 2505790035 is about 50057.8668642602. The cubic root of 2505790035 is about 1358.2557719858.

The spelling of 2505790035 in words is "two billion, five hundred five million, seven hundred ninety thousand, thirty-five".