2540167625 has 32 divisors (see below), whose sum is σ = 3365185824. Its totient is φ = 1907712000.

The previous prime is 2540167573. The next prime is 2540167667. The reversal of 2540167625 is 5267610452.

It can be written as a sum of positive squares in 16 ways, for example, as 1533818896 + 1006348729 = 39164^2 + 31723^2 .

It is not a de Polignac number, because 2540167625 - 2⁸ = 2540167369 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 978329 + ... + 980921.

It is an arithmetic number, because the mean of its divisors is an integer number (105162057).

Almost surely, 2^2540167625 is an apocalyptic number.

2540167625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2540167625 is a deficient number, since it is larger than the sum of its proper divisors (825018199).

2540167625 is a wasteful number, since it uses less digits than its factorization.

2540167625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 2540167625 is about 50400.0756447845. The cubic root of 2540167625 is about 1364.4390034143.

The spelling of 2540167625 in words is "two billion, five hundred forty million, one hundred sixty-seven thousand, six hundred twenty-five".