2640402600 has 384 divisors, whose sum is σ = 9589207680. Its totient is φ = 593920000.

The previous prime is 2640402577. The next prime is 2640402619. The reversal of 2640402600 is 62040462.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11332084 + ... + 11332316.

It is an arithmetic number, because the mean of its divisors is an integer number (24971895).

Almost surely, 2^2640402600 is an apocalyptic number.

2640402600 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 2640402600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794603840).

2640402600 is an abundant number, since it is smaller than the sum of its proper divisors (6948805080).

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

2640402600 is a wasteful number, since it uses less digits than its factorization.

2640402600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2640402600 is about 51384.8479612424. The cubic root of 2640402600 is about 1382.1548984007.

The spelling of 2640402600 in words is "two billion, six hundred forty million, four hundred two thousand, six hundred".