2579652320 has 96 divisors (see below), whose sum is σ = 6978218688. Its totient is φ = 882782208.

The previous prime is 2579652269. The next prime is 2579652329. The reversal of 2579652320 is 232569752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2579652329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689174 + ... + 692906.

It is an arithmetic number, because the mean of its divisors is an integer number (72689778).

Almost surely, 2^2579652320 is an apocalyptic number.

2579652320 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 2579652320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489109344).

2579652320 is an abundant number, since it is smaller than the sum of its proper divisors (4398566368).

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

2579652320 is a wasteful number, since it uses less digits than its factorization.

2579652320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 41.

The square root of 2579652320 is about 50790.2778098329. The cubic root of 2579652320 is about 1371.4723581423.

The spelling of 2579652320 in words is "two billion, five hundred seventy-nine million, six hundred fifty-two thousand, three hundred twenty".