2640056000 has 112 divisors (see below), whose sum is σ = 6564428832. Its totient is φ = 1051776000.

The previous prime is 2640055963. The next prime is 2640056009. The reversal of 2640056000 is 6500462.

It is not an unprimeable number, because it can be changed into a prime (2640056009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2647502 + ... + 2648498.

Almost surely, 2^2640056000 is an apocalyptic number.

2640056000 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 2640056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282214416).

2640056000 is an abundant number, since it is smaller than the sum of its proper divisors (3924372832).

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

2640056000 is an equidigital number, since it uses as much as digits as its factorization.

2640056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2640056000 is about 51381.4752610316. The cubic root of 2640056000 is about 1382.0944182488.

Adding to 2640056000 its reverse (6500462), we get a palindrome (2646556462).

The spelling of 2640056000 in words is "two billion, six hundred forty million, fifty-six thousand".