2579860800 has 672 divisors, whose sum is σ = 10544860800. Its totient is φ = 608256000.

The previous prime is 2579860783. The next prime is 2579860819. The reversal of 2579860800 is 80689752.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28987156 + ... + 28987244.

Almost surely, 2^2579860800 is an apocalyptic number.

2579860800 is a gapful number since it is divisible by the number (20) 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 2579860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272430400).

2579860800 is an abundant number, since it is smaller than the sum of its proper divisors (7965000000).

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

2579860800 is a wasteful number, since it uses less digits than its factorization.

2579860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2579860800 is about 50792.3301296564. The cubic root of 2579860800 is about 1371.5093032832.

The spelling of 2579860800 in words is "two billion, five hundred seventy-nine million, eight hundred sixty thousand, eight hundred".