2516505264 has 240 divisors, whose sum is σ = 8724066624. Its totient is φ = 659404800.

The previous prime is 2516505239. The next prime is 2516505281. The reversal of 2516505264 is 4625056152.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2371294 + ... + 2372354.

Almost surely, 2^2516505264 is an apocalyptic number.

2516505264 is a gapful number since it is divisible by the number (24) 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 2516505264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362033312).

2516505264 is an abundant number, since it is smaller than the sum of its proper divisors (6207561360).

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

2516505264 is a wasteful number, since it uses less digits than its factorization.

2516505264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2516505264 is about 50164.7811118518. The cubic root of 2516505264 is about 1360.1890711761.

The spelling of 2516505264 in words is "two billion, five hundred sixteen million, five hundred five thousand, two hundred sixty-four".