2257792 has 32 divisors (see below), whose sum is σ = 4651200. Its totient is φ = 1090560.

The previous prime is 2257781. The next prime is 2257799. The reversal of 2257792 is 2977522.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 2¹³ + 2¹⁸ + 5⁸ + 7 + 7⁵ + 9⁶ + 2²⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257799) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3684 + ... + 4252.

It is an arithmetic number, because the mean of its divisors is an integer number (145350).

2^2257792 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 2257792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325600).

2257792 is an abundant number, since it is smaller than the sum of its proper divisors (2393408).

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

2257792 is an equidigital number, since it uses as much as digits as its factorization.

2257792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 602 counting only the distinct ones).

The product of its digits is 17640, while the sum is 34.

The square root of 2257792 is about 1502.5950885052. The cubic root of 2257792 is about 131.1881607401.

The spelling of 2257792 in words is "two million, two hundred fifty-seven thousand, seven hundred ninety-two".