2257825000 has 48 divisors (see below), whose sum is σ = 5291497260. Its totient is φ = 903120000.

The previous prime is 2257824997. The next prime is 2257825021. The reversal of 2257825000 is 5287522.

It can be written as a sum of positive squares in 6 ways, for example, as 1037999524 + 1219825476 = 32218^2 + 34926^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20157 + ... + 70156.

Almost surely, 2^2257825000 is an apocalyptic number.

2257825000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2257825000 is an abundant number, since it is smaller than the sum of its proper divisors (3033672260).

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

2257825000 is an frugal number, since it uses more digits than its factorization.

2257825000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90344 (or 90320 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 2257825000 is about 47516.5760550989. The cubic root of 2257825000 is about 1311.8879988790.

The spelling of 2257825000 in words is "two billion, two hundred fifty-seven million, eight hundred twenty-five thousand".