2625012624 has 80 divisors (see below), whose sum is σ = 7375402944. Its totient is φ = 799680000.

The previous prime is 2625012581. The next prime is 2625012661. The reversal of 2625012624 is 4262105262.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2625012591 and 2625012600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42199 + ... + 83849.

Almost surely, 2^2625012624 is an apocalyptic number.

2625012624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2625012624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3687701472).

2625012624 is an abundant number, since it is smaller than the sum of its proper divisors (4750390320).

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

2625012624 is a wasteful number, since it uses less digits than its factorization.

2625012624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41776 (or 41770 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2625012624 is about 51234.8770272751. The cubic root of 2625012624 is about 1379.4642995304.

Adding to 2625012624 its reverse (4262105262), we get a palindrome (6887117886).

The spelling of 2625012624 in words is "two billion, six hundred twenty-five million, twelve thousand, six hundred twenty-four".