2518056960 has 256 divisors, whose sum is σ = 8304595200. Its totient is φ = 651165696.

The previous prime is 2518056899. The next prime is 2518056967. The reversal of 2518056960 is 696508152.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×2518056960² = 12681221707608883200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2518056967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23101386 + ... + 23101494.

It is an arithmetic number, because the mean of its divisors is an integer number (32439825).

Almost surely, 2^2518056960 is an apocalyptic number.

2518056960 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 2518056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152297600).

2518056960 is an abundant number, since it is smaller than the sum of its proper divisors (5786538240).

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

2518056960 is an equidigital number, since it uses as much as digits as its factorization.

2518056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 2518056960 is about 50180.2447184148. The cubic root of 2518056960 is about 1360.4685813253.

The spelling of 2518056960 in words is "two billion, five hundred eighteen million, fifty-six thousand, nine hundred sixty".