2457792 has 84 divisors (see below), whose sum is σ = 7488936. Its totient is φ = 768000.

The previous prime is 2457781. The next prime is 2457797. The reversal of 2457792 is 2977542.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2457797) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9667 + ... + 9917.

It is an arithmetic number, because the mean of its divisors is an integer number (89154).

2^2457792 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 2457792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744468).

2457792 is an abundant number, since it is smaller than the sum of its proper divisors (5031144).

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

2457792 is a wasteful number, since it uses less digits than its factorization.

2457792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 2457792 is about 1567.7346714288. The cubic root of 2457792 is about 134.9527406595.

It can be divided in two parts, 2457 and 792, that added together give a square (3249 = 57²).

The spelling of 2457792 in words is "two million, four hundred fifty-seven thousand, seven hundred ninety-two".