2057185280 has 96 divisors (see below), whose sum is σ = 5000486400. Its totient is φ = 812138496.

The previous prime is 2057185279. The next prime is 2057185307. The reversal of 2057185280 is 825817502.

It is a happy number.

It is a super-2 number, since 2×2057185280² = 8464022552497356800, 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, 807689 + ... + 810231.

It is an arithmetic number, because the mean of its divisors is an integer number (52088400).

Almost surely, 2^2057185280 is an apocalyptic number.

2057185280 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 2057185280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500243200).

2057185280 is an abundant number, since it is smaller than the sum of its proper divisors (2943301120).

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

2057185280 is an equidigital number, since it uses as much as digits as its factorization.

2057185280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 38.

The square root of 2057185280 is about 45356.2044267375. The cubic root of 2057185280 is about 1271.8165419789.

The spelling of 2057185280 in words is "two billion, fifty-seven million, one hundred eighty-five thousand, two hundred eighty".