2579889752 has 16 divisors (see below), whose sum is σ = 5277047400. Its totient is φ = 1172677120.

The previous prime is 2579889751. The next prime is 2579889773.

It is a happy number.

2579889752 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2579889752² = 13311662264949243008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2579889751) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14658377 + ... + 14658552.

Almost surely, 2^2579889752 is an apocalyptic number.

2579889752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2579889752 is an abundant number, since it is smaller than the sum of its proper divisors (2697157648).

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

2579889752 is a wasteful number, since it uses less digits than its factorization.

2579889752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29316946 (or 29316942 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 62.

The square root of 2579889752 is about 50792.6151325170. The cubic root of 2579889752 is about 1371.5144337653.

The spelling of 2579889752 in words is "two billion, five hundred seventy-nine million, eight hundred eighty-nine thousand, seven hundred fifty-two".