2516160 has 56 divisors (see below), whose sum is σ = 7991856. Its totient is φ = 670720.

The previous prime is 2516123. The next prime is 2516197. The reversal of 2516160 is 616152.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2516123) and next prime (2516197).

It is a super-2 number, since 2×2516160² = 12662122291200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 351 + ... + 2270.

2^2516160 is an apocalyptic number.

2516160 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 2516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995928).

2516160 is an abundant number, since it is smaller than the sum of its proper divisors (5475696).

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

2516160 is a wasteful number, since it uses less digits than its factorization.

2516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2516160 is about 1586.2408392170. The cubic root of 2516160 is about 136.0126862445.

The spelling of 2516160 in words is "two million, five hundred sixteen thousand, one hundred sixty".