2518871264 has 192 divisors, whose sum is σ = 6322176000. Its totient is φ = 981517824.

The previous prime is 2518871239. The next prime is 2518871279. The reversal of 2518871264 is 4621788152.

It is a congruent number.

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, 18121307 + ... + 18121445.

It is an arithmetic number, because the mean of its divisors is an integer number (32928000).

Almost surely, 2^2518871264 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 2518871264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161088000).

2518871264 is an abundant number, since it is smaller than the sum of its proper divisors (3803304736).

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

2518871264 is a wasteful number, since it uses less digits than its factorization.

2518871264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 288 counting only the distinct ones).

The product of its digits is 215040, while the sum is 44.

The square root of 2518871264 is about 50188.3578531914. The cubic root of 2518871264 is about 1360.6152176177.

The spelling of 2518871264 in words is "two billion, five hundred eighteen million, eight hundred seventy-one thousand, two hundred sixty-four".