2258592 has 48 divisors (see below), whose sum is σ = 6777792. Its totient is φ = 645120.

The previous prime is 2258573. The next prime is 2258593. The reversal of 2258592 is 2958522.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2258593) 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, 1009 + ... + 2352.

It is an arithmetic number, because the mean of its divisors is an integer number (141204).

2^2258592 is an apocalyptic number.

It is an amenable number.

2258592 is an abundant number, since it is smaller than the sum of its proper divisors (4519200).

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

2258592 is a wasteful number, since it uses less digits than its factorization.

2258592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3373 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 2258592 is about 1502.8612710427. The cubic root of 2258592 is about 131.2036534775.

It can be divided in two parts, 2258 and 592, that added together give a triangular number (2850 = T₇₅).

The spelling of 2258592 in words is "two million, two hundred fifty-eight thousand, five hundred ninety-two".