2643882720 has 96 divisors (see below), whose sum is σ = 8339617440. Its totient is φ = 704071680.

The previous prime is 2643882719. The next prime is 2643882743. The reversal of 2643882720 is 272883462.

2643882720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2643882720² = 13980231674229196800, which contains 22 as substring.

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, 390726 + ... + 397434.

It is an arithmetic number, because the mean of its divisors is an integer number (86871015).

Almost surely, 2^2643882720 is an apocalyptic number.

2643882720 is a gapful number since it is divisible by the number (20) 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 2643882720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169808720).

2643882720 is an abundant number, since it is smaller than the sum of its proper divisors (5695734720).

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

2643882720 is a wasteful number, since it uses less digits than its factorization.

2643882720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7548 (or 7540 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 2643882720 is about 51418.7001002554. The cubic root of 2643882720 is about 1382.7618706338.

The spelling of 2643882720 in words is "two billion, six hundred forty-three million, eight hundred eighty-two thousand, seven hundred twenty".