2640220800 has 384 divisors, whose sum is σ = 10062748800. Its totient is φ = 595968000.

The previous prime is 2640220777. The next prime is 2640220837. The reversal of 2640220800 is 80220462.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 6787006 + ... + 6787394.

It is an arithmetic number, because the mean of its divisors is an integer number (26205075).

Almost surely, 2^2640220800 is an apocalyptic number.

2640220800 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 2640220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031374400).

2640220800 is an abundant number, since it is smaller than the sum of its proper divisors (7422528000).

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

2640220800 is a wasteful number, since it uses less digits than its factorization.

2640220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2640220800 is about 51383.0789268218. The cubic root of 2640220800 is about 1382.1231757728.

The spelling of 2640220800 in words is "two billion, six hundred forty million, two hundred twenty thousand, eight hundred".