2579009752 has 64 divisors (see below), whose sum is σ = 5614272000. Its totient is φ = 1097648640.

The previous prime is 2579009749. The next prime is 2579009767.

2579009752 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2579009752² = 13302582601822203008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293373 + ... + 302035.

It is an arithmetic number, because the mean of its divisors is an integer number (87723000).

Almost surely, 2^2579009752 is an apocalyptic number.

2579009752 is a gapful number since it is divisible by the number (22) 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 2579009752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807136000).

2579009752 is an abundant number, since it is smaller than the sum of its proper divisors (3035262248).

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

2579009752 is a wasteful number, since it uses less digits than its factorization.

2579009752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8896 (or 8892 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 46.

The square root of 2579009752 is about 50783.9517170533. The cubic root of 2579009752 is about 1371.3584749102.

The spelling of 2579009752 in words is "two billion, five hundred seventy-nine million, nine thousand, seven hundred fifty-two".