2625879296 has 72 divisors (see below), whose sum is σ = 5602685760. Its totient is φ = 1223942144.

The previous prime is 2625879271. The next prime is 2625879301. The reversal of 2625879296 is 6929785262.

It is a super-2 number, since 2×2625879296² = 13790484154322911232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462845 + ... + 468483.

It is an arithmetic number, because the mean of its divisors is an integer number (77815080).

Almost surely, 2^2625879296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2625879296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801342880).

2625879296 is an abundant number, since it is smaller than the sum of its proper divisors (2976806464).

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

2625879296 is a wasteful number, since it uses less digits than its factorization.

2625879296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5779 (or 5765 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 56.

The square root of 2625879296 is about 51243.3341616254. The cubic root of 2625879296 is about 1379.6160970905.

The spelling of 2625879296 in words is "two billion, six hundred twenty-five million, eight hundred seventy-nine thousand, two hundred ninety-six".