2012656624 has 80 divisors (see below), whose sum is σ = 4582385280. Its totient is φ = 846478080.

The previous prime is 2012656619. The next prime is 2012656651. The reversal of 2012656624 is 4266562102.

It is a super-2 number, since 2×2012656624² = 8101573372262154752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2012656624.

It is a congruent number.

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, 136794 + ... + 150790.

It is an arithmetic number, because the mean of its divisors is an integer number (57279816).

Almost surely, 2^2012656624 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 2012656624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291192640).

2012656624 is an abundant number, since it is smaller than the sum of its proper divisors (2569728656).

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

2012656624 is a wasteful number, since it uses less digits than its factorization.

2012656624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14078 (or 14072 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 2012656624 is about 44862.6417412082. The cubic root of 2012656624 is about 1262.5731877188.

The spelling of 2012656624 in words is "two billion, twelve million, six hundred fifty-six thousand, six hundred twenty-four".