2505906442 has 32 divisors (see below), whose sum is σ = 4322279808. Its totient is φ = 1080547776.

The previous prime is 2505906433. The next prime is 2505906451. The reversal of 2505906442 is 2446095052.

It is an interprime number because it is at equal distance from previous prime (2505906433) and next prime (2505906451).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23013 + ... + 74440.

It is an arithmetic number, because the mean of its divisors is an integer number (135071244).

Almost surely, 2^2505906442 is an apocalyptic number.

2505906442 is a deficient number, since it is larger than the sum of its proper divisors (1816373366).

2505906442 is a wasteful number, since it uses less digits than its factorization.

2505906442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97534.

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 2505906442 is about 50059.0295750926. The cubic root of 2505906442 is about 1358.2768043454.

The spelling of 2505906442 in words is "two billion, five hundred five million, nine hundred six thousand, four hundred forty-two".