2516516288 has 112 divisors (see below), whose sum is σ = 5914339200. Its totient is φ = 1047321600.

The previous prime is 2516516287. The next prime is 2516516293. The reversal of 2516516288 is 8826156152.

It is a super-3 number, since 3×2516516288³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516516281) 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, 1197863 + ... + 1199961.

It is an arithmetic number, because the mean of its divisors is an integer number (52806600).

Almost surely, 2^2516516288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2516516288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957169600).

2516516288 is an abundant number, since it is smaller than the sum of its proper divisors (3397822912).

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

2516516288 is a wasteful number, since it uses less digits than its factorization.

2516516288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2256 counting only the distinct ones).

The product of its digits is 230400, while the sum is 44.

The square root of 2516516288 is about 50164.8909896154. The cubic root of 2516516288 is about 1360.1910573568.

The spelling of 2516516288 in words is "two billion, five hundred sixteen million, five hundred sixteen thousand, two hundred eighty-eight".