2640778800 has 240 divisors, whose sum is σ = 9479488512. Its totient is φ = 622771200.

The previous prime is 2640778771. The next prime is 2640778841. The reversal of 2640778800 is 88770462.

It is a tau number, because it is divible by the number of its divisors (240).

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, 485697 + ... + 491103.

Almost surely, 2^2640778800 is an apocalyptic number.

2640778800 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 2640778800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739744256).

2640778800 is an abundant number, since it is smaller than the sum of its proper divisors (6838709712).

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

2640778800 is a wasteful number, since it uses less digits than its factorization.

2640778800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5476 (or 5465 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 2640778800 is about 51388.5084430362. The cubic root of 2640778800 is about 1382.2205376306.

The spelling of 2640778800 in words is "two billion, six hundred forty million, seven hundred seventy-eight thousand, eight hundred".