2578980864 has 112 divisors (see below), whose sum is σ = 6951634560. Its totient is φ = 850329600.

The previous prime is 2578980863. The next prime is 2578980871. The reversal of 2578980864 is 4680898752.

It is a super-2 number, since 2×2578980864² = 13302284593756372992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2578980863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2481657 + ... + 2482695.

Almost surely, 2^2578980864 is an apocalyptic number.

2578980864 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 2578980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475817280).

2578980864 is an abundant number, since it is smaller than the sum of its proper divisors (4372653696).

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

2578980864 is a wasteful number, since it uses less digits than its factorization.

2578980864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The square root of 2578980864 is about 50783.6672956966. The cubic root of 2578980864 is about 1371.3533546049.

The spelling of 2578980864 in words is "two billion, five hundred seventy-eight million, nine hundred eighty thousand, eight hundred sixty-four".