2518779264 has 128 divisors (see below), whose sum is σ = 6936391680. Its totient is φ = 808980480.

The previous prime is 2518779247. The next prime is 2518779271. The reversal of 2518779264 is 4629778152.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5439897 + ... + 5440359.

It is an arithmetic number, because the mean of its divisors is an integer number (54190560).

Almost surely, 2^2518779264 is an apocalyptic number.

2518779264 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 2518779264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468195840).

2518779264 is an abundant number, since it is smaller than the sum of its proper divisors (4417612416).

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

2518779264 is a wasteful number, since it uses less digits than its factorization.

2518779264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 956 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The square root of 2518779264 is about 50187.4412975995. The cubic root of 2518779264 is about 1360.5986522449.

The spelling of 2518779264 in words is "two billion, five hundred eighteen million, seven hundred seventy-nine thousand, two hundred sixty-four".