2258496 has 56 divisors (see below), whose sum is σ = 6644640. Its totient is φ = 752256.

The previous prime is 2258483. The next prime is 2258519. The reversal of 2258496 is 6948522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2 + 2²¹ + 5⁷ + 8 + 4⁷ + 9⁵ + 6⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 2258496.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1075 + ... + 2381.

2^2258496 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 2258496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322320).

2258496 is an abundant number, since it is smaller than the sum of its proper divisors (4386144).

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

2258496 is a wasteful number, since it uses less digits than its factorization.

2258496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1312 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2258496 is about 1502.8293316275. The cubic root of 2258496 is about 131.2017945422.

The spelling of 2258496 in words is "two million, two hundred fifty-eight thousand, four hundred ninety-six".