2518979904 has 448 divisors, whose sum is σ = 9012326400. Its totient is φ = 674666496.

The previous prime is 2518979851. The next prime is 2518979909. The reversal of 2518979904 is 4099798152.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2518979909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15083629 + ... + 15083795.

It is an arithmetic number, because the mean of its divisors is an integer number (20116800).

Almost surely, 2^2518979904 is an apocalyptic number.

2518979904 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 2518979904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506163200).

2518979904 is an abundant number, since it is smaller than the sum of its proper divisors (6493346496).

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

2518979904 is a wasteful number, since it uses less digits than its factorization.

2518979904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The square root of 2518979904 is about 50189.4401642417. The cubic root of 2518979904 is about 1360.6347786428.

The spelling of 2518979904 in words is "two billion, five hundred eighteen million, nine hundred seventy-nine thousand, nine hundred four".