2645983872 has 384 divisors, whose sum is σ = 9142398720. Its totient is φ = 718848000.

The previous prime is 2645983811. The next prime is 2645983883. The reversal of 2645983872 is 2783895462.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2645983872² = 14002461301768224768, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 17522997 + ... + 17523147.

It is an arithmetic number, because the mean of its divisors is an integer number (23808330).

Almost surely, 2^2645983872 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 2645983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571199360).

2645983872 is an abundant number, since it is smaller than the sum of its proper divisors (6496414848).

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

2645983872 is a wasteful number, since it uses less digits than its factorization.

2645983872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 2645983872 is about 51439.1278308643. The cubic root of 2645983872 is about 1383.1280774411.

The spelling of 2645983872 in words is "two billion, six hundred forty-five million, nine hundred eighty-three thousand, eight hundred seventy-two".