2578728720 has 320 divisors, whose sum is σ = 8774438400. Its totient is φ = 624476160.

The previous prime is 2578728709. The next prime is 2578728739. The reversal of 2578728720 is 278278752.

It is a super-2 number, since 2×2578728720² = 13299683622705676800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2578728720.

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 63 ways as a sum of consecutive naturals, for example, 14247030 + ... + 14247210.

It is an arithmetic number, because the mean of its divisors is an integer number (27420120).

Almost surely, 2^2578728720 is an apocalyptic number.

2578728720 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 2578728720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387219200).

2578728720 is an abundant number, since it is smaller than the sum of its proper divisors (6195709680).

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

2578728720 is a wasteful number, since it uses less digits than its factorization.

2578728720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 48.

The square root of 2578728720 is about 50781.1847045734. The cubic root of 2578728720 is about 1371.3086612670.

The spelling of 2578728720 in words is "two billion, five hundred seventy-eight million, seven hundred twenty-eight thousand, seven hundred twenty".