2257000 has 64 divisors (see below), whose sum is σ = 5513040. Its totient is φ = 864000.

The previous prime is 2256973. The next prime is 2257001. The reversal of 2257000 is 7522.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 24964 + 2232036 = 158^2 + 1494^2 .

It is not an unprimeable number, because it can be changed into a prime (2257001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36970 + ... + 37030.

2^2257000 is an apocalyptic number.

2257000 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 2257000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756520).

2257000 is an abundant number, since it is smaller than the sum of its proper divisors (3256040).

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

2257000 is a wasteful number, since it uses less digits than its factorization.

2257000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 2257000 is about 1502.3315213361. The cubic root of 2257000 is about 131.1728193248.

It can be divided in two parts, 225 and 7000, that added together give a square (7225 = 85²).

The spelling of 2257000 in words is "two million, two hundred fifty-seven thousand".