2508226560 has 512 divisors, whose sum is σ = 10317830400. Its totient is φ = 573308928.

The previous prime is 2508226519. The next prime is 2508226571. The reversal of 2508226560 is 656228052.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (4!)² ⋅ 3! ⋅ 2!.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358318077 + ... + 358318083.

Almost surely, 2^2508226560 is an apocalyptic number.

2508226560 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 2508226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5158915200).

2508226560 is an abundant number, since it is smaller than the sum of its proper divisors (7809603840).

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

2508226560 is an frugal number, since it uses more digits than its factorization.

2508226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2508226560 is about 50082.1980348307. The cubic root of 2508226560 is about 1358.6958663312.

The spelling of 2508226560 in words is "two billion, five hundred eight million, two hundred twenty-six thousand, five hundred sixty".