2641309872 has 80 divisors (see below), whose sum is σ = 7020071520. Its totient is φ = 855244800.

The previous prime is 2641309849. The next prime is 2641309919. The reversal of 2641309872 is 2789031462.

2641309872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 471504 + ... + 477072.

It is an arithmetic number, because the mean of its divisors is an integer number (87750894).

Almost surely, 2^2641309872 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 2641309872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510035760).

2641309872 is an abundant number, since it is smaller than the sum of its proper divisors (4378761648).

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

2641309872 is a wasteful number, since it uses less digits than its factorization.

2641309872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5862 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2641309872 is about 51393.6754085559. The cubic root of 2641309872 is about 1382.3131882562.

The spelling of 2641309872 in words is "two billion, six hundred forty-one million, three hundred nine thousand, eight hundred seventy-two".