2506792 has 32 divisors (see below), whose sum is σ = 4924800. Its totient is φ = 1195264.

The previous prime is 2506783. The next prime is 2506799. The reversal of 2506792 is 2976052.

It is a super-2 number, since 2×2506792² = 12568012262528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2506799) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22128 + ... + 22240.

It is an arithmetic number, because the mean of its divisors is an integer number (153900).

2^2506792 is an apocalyptic number.

It is an amenable number.

2506792 is a deficient number, since it is larger than the sum of its proper divisors (2418008).

2506792 is a wasteful number, since it uses less digits than its factorization.

2506792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 2506792 is about 1583.2851922506. The cubic root of 2506792 is about 135.8436785209.

The spelling of 2506792 in words is "two million, five hundred six thousand, seven hundred ninety-two".