2522896560 has 480 divisors, whose sum is σ = 9498677760. Its totient is φ = 597196800.

The previous prime is 2522896547. The next prime is 2522896561. The reversal of 2522896560 is 656982252.

2522896560 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 89 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2522896561) 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, 23145786 + ... + 23145894.

It is an arithmetic number, because the mean of its divisors is an integer number (19788912).

Almost surely, 2^2522896560 is an apocalyptic number.

2522896560 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 2522896560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749338880).

2522896560 is an abundant number, since it is smaller than the sum of its proper divisors (6975781200).

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

2522896560 is a wasteful number, since it uses less digits than its factorization.

2522896560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2522896560 is about 50228.4437346012. The cubic root of 2522896560 is about 1361.3396114108.

The spelling of 2522896560 in words is "two billion, five hundred twenty-two million, eight hundred ninety-six thousand, five hundred sixty".