2578379724 has 72 divisors (see below), whose sum is σ = 6899256000. Its totient is φ = 809637984.

The previous prime is 2578379719. The next prime is 2578379737. The reversal of 2578379724 is 4279738752.

It is a super-2 number, since 2×2578379724² = 13296084002268632352, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111907 + ... + 132965.

It is an arithmetic number, because the mean of its divisors is an integer number (95823000).

Almost surely, 2^2578379724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2578379724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449628000).

2578379724 is an abundant number, since it is smaller than the sum of its proper divisors (4320876276).

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

2578379724 is a wasteful number, since it uses less digits than its factorization.

2578379724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21267 (or 21262 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 2578379724 is about 50777.7483155762. The cubic root of 2578379724 is about 1371.2467957923.

The spelling of 2578379724 in words is "two billion, five hundred seventy-eight million, three hundred seventy-nine thousand, seven hundred twenty-four".