2652982304 has 72 divisors (see below), whose sum is σ = 6205248000. Its totient is φ = 1112770176.

The previous prime is 2652982291. The next prime is 2652982337. The reversal of 2652982304 is 4032892562.

Together with 3552265695 it forms a betrothed pair.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55697 + ... + 91695.

It is an arithmetic number, because the mean of its divisors is an integer number (86184000).

Almost surely, 2^2652982304 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 2652982304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102624000).

2652982304 is an abundant number, since it is smaller than the sum of its proper divisors (3552265696).

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

2652982304 is a wasteful number, since it uses less digits than its factorization.

2652982304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36070 (or 36055 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 2652982304 is about 51507.1092568783. The cubic root of 2652982304 is about 1384.3464278076.

The spelling of 2652982304 in words is "two billion, six hundred fifty-two million, nine hundred eighty-two thousand, three hundred four".