2516996160 has 224 divisors, whose sum is σ = 10148133120. Its totient is φ = 575299584.

The previous prime is 2516996143. The next prime is 2516996173. The reversal of 2516996160 is 616996152.

It is a happy number.

2516996160 is a `hidden beast` number, since 25 + 1 + 6 + 9 + 9 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 39672 + ... + 81288.

Almost surely, 2^2516996160 is an apocalyptic number.

2516996160 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 2516996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5074066560).

2516996160 is an abundant number, since it is smaller than the sum of its proper divisors (7631136960).

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

2516996160 is a wasteful number, since it uses less digits than its factorization.

2516996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41650 (or 41634 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 2516996160 is about 50169.6737083270. The cubic root of 2516996160 is about 1360.2775096906.

The spelling of 2516996160 in words is "two billion, five hundred sixteen million, nine hundred ninety-six thousand, one hundred sixty".