2640073824 has 120 divisors (see below), whose sum is σ = 7863276960. Its totient is φ = 868817664.

The previous prime is 2640073819. The next prime is 2640073847. The reversal of 2640073824 is 4283700462.

2640073824 is a `hidden beast` number, since 2 + 640 + 0 + 7 + 3 + 8 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 198322 + ... + 211214.

It is an arithmetic number, because the mean of its divisors is an integer number (65527308).

Almost surely, 2^2640073824 is an apocalyptic number.

2640073824 is a gapful number since it is divisible by the number (24) 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 2640073824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931638480).

2640073824 is an abundant number, since it is smaller than the sum of its proper divisors (5223203136).

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

2640073824 is a wasteful number, since it uses less digits than its factorization.

2640073824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12994 (or 12977 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2640073824 is about 51381.6487084640. The cubic root of 2640073824 is about 1382.0975285863.

The spelling of 2640073824 in words is "two billion, six hundred forty million, seventy-three thousand, eight hundred twenty-four".