2678579904 has 504 divisors, whose sum is σ = 9812725104. Its totient is φ = 638668800.

The previous prime is 2678579903. The next prime is 2678579909. The reversal of 2678579904 is 4099758762.

It is a super-2 number, since 2×2678579904² = 14349580604225298432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2678579903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14798694 + ... + 14798874.

Almost surely, 2^2678579904 is an apocalyptic number.

2678579904 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 2678579904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906362552).

2678579904 is an abundant number, since it is smaller than the sum of its proper divisors (7134145200).

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

2678579904 is a wasteful number, since it uses less digits than its factorization.

2678579904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The square root of 2678579904 is about 51754.9988310308. The cubic root of 2678579904 is about 1388.7845254953.

The spelling of 2678579904 in words is "two billion, six hundred seventy-eight million, five hundred seventy-nine thousand, nine hundred four".