2640309680 has 160 divisors (see below), whose sum is σ = 6527582208. Its totient is φ = 991872000.

The previous prime is 2640309671. The next prime is 2640309703. The reversal of 2640309680 is 869030462.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20789777 + ... + 20789903.

Almost surely, 2^2640309680 is an apocalyptic number.

2640309680 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 2640309680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263791104).

2640309680 is an abundant number, since it is smaller than the sum of its proper divisors (3887272528).

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

2640309680 is a wasteful number, since it uses less digits than its factorization.

2640309680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 2640309680 is about 51383.9437957033. The cubic root of 2640309680 is about 1382.1386847950.

The spelling of 2640309680 in words is "two billion, six hundred forty million, three hundred nine thousand, six hundred eighty".