2513642560 has 224 divisors, whose sum is σ = 7096182912. Its totient is φ = 836075520.

The previous prime is 2513642543. The next prime is 2513642581. The reversal of 2513642560 is 652463152.

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, 7458712 + ... + 7459048.

It is an arithmetic number, because the mean of its divisors is an integer number (31679388).

Almost surely, 2^2513642560 is an apocalyptic number.

2513642560 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 2513642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548091456).

2513642560 is an abundant number, since it is smaller than the sum of its proper divisors (4582540352).

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

2513642560 is a wasteful number, since it uses less digits than its factorization.

2513642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 2513642560 is about 50136.2399866603. The cubic root of 2513642560 is about 1359.6731048234.

The spelling of 2513642560 in words is "two billion, five hundred thirteen million, six hundred forty-two thousand, five hundred sixty".