2257296 has 80 divisors (see below), whose sum is σ = 6332928. Its totient is φ = 691200.

The previous prime is 2257291. The next prime is 2257301. The reversal of 2257296 is 6927522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2257291) and next prime (2257301).

Its product of digits (15120) is a multiple of the sum of its prime factors (120).

It is not an unprimeable number, because it can be changed into a prime (2257291) 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, 55036 + ... + 55076.

2^2257296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166464).

2257296 is an abundant number, since it is smaller than the sum of its proper divisors (4075632).

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

2257296 is a wasteful number, since it uses less digits than its factorization.

2257296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 2257296 is about 1502.4300316487. The cubic root of 2257296 is about 131.1785534050.

The spelling of 2257296 in words is "two million, two hundred fifty-seven thousand, two hundred ninety-six".