2257360 has 80 divisors (see below), whose sum is σ = 6249600. Its totient is φ = 741888.

The previous prime is 2257319. The next prime is 2257361. The reversal of 2257360 is 637522.

2257360 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257361) 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, 16171 + ... + 16309.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

2^2257360 is an apocalyptic number.

2257360 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 2257360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124800).

2257360 is an abundant number, since it is smaller than the sum of its proper divisors (3992240).

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

2257360 is a wasteful number, since it uses less digits than its factorization.

2257360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 2257360 is about 1502.4513303265. The cubic root of 2257360 is about 131.1797931402.

The spelling of 2257360 in words is "two million, two hundred fifty-seven thousand, three hundred sixty".