2257200 has 240 divisors, whose sum is σ = 9225600. Its totient is φ = 518400.

The previous prime is 2257193. The next prime is 2257207. The reversal of 2257200 is 27522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2257193) and next prime (2257207).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2257207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118791 + ... + 118809.

It is an arithmetic number, because the mean of its divisors is an integer number (38440).

2^2257200 is an apocalyptic number.

2257200 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 2257200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612800).

2257200 is an abundant number, since it is smaller than the sum of its proper divisors (6968400).

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

2257200 is a wasteful number, since it uses less digits than its factorization.

2257200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2257200 is about 1502.3980830659. The cubic root of 2257200 is about 131.1766937582.

The spelling of 2257200 in words is "two million, two hundred fifty-seven thousand, two hundred".