2457253968 has 80 divisors (see below), whose sum is σ = 6857436096. Its totient is φ = 753730560.

The previous prime is 2457253961. The next prime is 2457254003. The reversal of 2457253968 is 8693527542.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2457253968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2457253961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200596 + ... + 212492.

Almost surely, 2^2457253968 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 2457253968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428718048).

2457253968 is an abundant number, since it is smaller than the sum of its proper divisors (4400182128).

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

2457253968 is a wasteful number, since it uses less digits than its factorization.

2457253968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12252 (or 12246 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 51.

The square root of 2457253968 is about 49570.6966664783. The cubic root of 2457253968 is about 1349.4289249882.

The spelling of 2457253968 in words is "two billion, four hundred fifty-seven million, two hundred fifty-three thousand, nine hundred sixty-eight".