2571759872 has 72 divisors (see below), whose sum is σ = 5633591040. Its totient is φ = 1162004480.

The previous prime is 2571759833. The next prime is 2571759887. The reversal of 2571759872 is 2789571752.

It is a super-2 number, since 2×2571759872² = 13227897678458912768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 484529 + ... + 489807.

It is an arithmetic number, because the mean of its divisors is an integer number (78244320).

Almost surely, 2^2571759872 is an apocalyptic number.

2571759872 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 2571759872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816795520).

2571759872 is an abundant number, since it is smaller than the sum of its proper divisors (3061831168).

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

2571759872 is a wasteful number, since it uses less digits than its factorization.

2571759872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5479 (or 5465 counting only the distinct ones).

The product of its digits is 2469600, while the sum is 53.

The square root of 2571759872 is about 50712.5218461871. The cubic root of 2571759872 is about 1370.0722557660.

The spelling of 2571759872 in words is "two billion, five hundred seventy-one million, seven hundred fifty-nine thousand, eight hundred seventy-two".