2544656625 has 48 divisors (see below), whose sum is σ = 5242493568. Its totient is φ = 1163268000.

The previous prime is 2544656603. The next prime is 2544656629. The reversal of 2544656625 is 5266564452.

2544656625 is a `hidden beast` number, since 25 + 4 + 46 + 566 + 25 = 666.

2544656625 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2544656625 - 2⁵ = 2544656593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2544656629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153691 + ... + 169440.

It is an arithmetic number, because the mean of its divisors is an integer number (109218616).

Almost surely, 2^2544656625 is an apocalyptic number.

2544656625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2544656625 is an abundant number, since it is smaller than the sum of its proper divisors (2697836943).

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

2544656625 is a wasteful number, since it uses less digits than its factorization.

2544656625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323159 (or 323146 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The square root of 2544656625 is about 50444.5896504273. The cubic root of 2544656625 is about 1365.2422787753.

The spelling of 2544656625 in words is "two billion, five hundred forty-four million, six hundred fifty-six thousand, six hundred twenty-five".