2604191625 has 96 divisors (see below), whose sum is σ = 5386238208. Its totient is φ = 1185811200.

The previous prime is 2604191621. The next prime is 2604191627. The reversal of 2604191625 is 5261914062.

2604191625 is a `hidden beast` number, since 2 + 604 + 19 + 16 + 25 = 666.

It is not a de Polignac number, because 2604191625 - 2² = 2604191621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2604191625.

It is not an unprimeable number, because it can be changed into a prime (2604191621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2732149 + ... + 2733101.

It is an arithmetic number, because the mean of its divisors is an integer number (56106648).

Almost surely, 2^2604191625 is an apocalyptic number.

2604191625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2604191625 is an abundant number, since it is smaller than the sum of its proper divisors (2782046583).

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

2604191625 is a wasteful number, since it uses less digits than its factorization.

2604191625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2604191625 is about 51031.2808481229. The cubic root of 2604191625 is about 1375.8074155908.

The spelling of 2604191625 in words is "two billion, six hundred four million, one hundred ninety-one thousand, six hundred twenty-five".