2260456 has 32 divisors (see below), whose sum is σ = 4898880. Its totient is φ = 966400.

The previous prime is 2260451. The next prime is 2260457. The reversal of 2260456 is 6540622.

2260456 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×2260456² = 10219322655872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2260456.

It is not an unprimeable number, because it can be changed into a prime (2260451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 741 + ... + 2251.

It is an arithmetic number, because the mean of its divisors is an integer number (153090).

2^2260456 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 2260456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449440).

2260456 is an abundant number, since it is smaller than the sum of its proper divisors (2638424).

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

2260456 is a wasteful number, since it uses less digits than its factorization.

2260456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2260456 is about 1503.4812935318. The cubic root of 2260456 is about 131.2397373684.

The spelling of 2260456 in words is "two million, two hundred sixty thousand, four hundred fifty-six".