2538516160 has 112 divisors (see below), whose sum is σ = 6621536160. Its totient is φ = 922664960.

The previous prime is 2538516157. The next prime is 2538516181. The reversal of 2538516160 is 616158352.

2538516160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2538516160² = 12888128589162291200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149715 + ... + 165805.

Almost surely, 2^2538516160 is an apocalyptic number.

2538516160 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 2538516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310768080).

2538516160 is an abundant number, since it is smaller than the sum of its proper divisors (4083020000).

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

2538516160 is a wasteful number, since it uses less digits than its factorization.

2538516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16154 (or 16144 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 2538516160 is about 50383.6894242571. The cubic root of 2538516160 is about 1364.1432471109.

The spelling of 2538516160 in words is "two billion, five hundred thirty-eight million, five hundred sixteen thousand, one hundred sixty".