2640565040 has 80 divisors (see below), whose sum is σ = 6240538080. Its totient is φ = 1038950400.

The previous prime is 2640565013. The next prime is 2640565087. The reversal of 2640565040 is 405650462.

2640565040 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 (80).

It is a junction number, because it is equal to n+sod(n) for n = 2640564988 and 2640565006.

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, 1388090 + ... + 1389990.

It is an arithmetic number, because the mean of its divisors is an integer number (78006726).

Almost surely, 2^2640565040 is an apocalyptic number.

2640565040 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 2640565040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120269040).

2640565040 is an abundant number, since it is smaller than the sum of its proper divisors (3599973040).

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

2640565040 is a wasteful number, since it uses less digits than its factorization.

2640565040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 2640565040 is about 51386.4285585212. The cubic root of 2640565040 is about 1382.1832416336.

The spelling of 2640565040 in words is "two billion, six hundred forty million, five hundred sixty-five thousand, forty".