2522646720 has 672 divisors, whose sum is σ = 10377830400. Its totient is φ = 574801920.

The previous prime is 2522646719. The next prime is 2522646727. The reversal of 2522646720 is 276462252.

2522646720 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 646 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2522646727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19863297 + ... + 19863423.

It is an arithmetic number, because the mean of its divisors is an integer number (15443200).

Almost surely, 2^2522646720 is an apocalyptic number.

2522646720 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 2522646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188915200).

2522646720 is an abundant number, since it is smaller than the sum of its proper divisors (7855183680).

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

2522646720 is a wasteful number, since it uses less digits than its factorization.

2522646720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2522646720 is about 50225.9566359865. The cubic root of 2522646720 is about 1361.2946725468.

The spelling of 2522646720 in words is "two billion, five hundred twenty-two million, six hundred forty-six thousand, seven hundred twenty".