2457713232 has 320 divisors, whose sum is σ = 8266137600. Its totient is φ = 692375040.

The previous prime is 2457713207. The next prime is 2457713233. The reversal of 2457713232 is 2323177542.

2457713232 is a `hidden beast` number, since 24 + 577 + 1 + 32 + 32 = 666.

2457713232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2457713233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3307453 + ... + 3308195.

It is an arithmetic number, because the mean of its divisors is an integer number (25831680).

Almost surely, 2^2457713232 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 2457713232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133068800).

2457713232 is an abundant number, since it is smaller than the sum of its proper divisors (5808424368).

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

2457713232 is a wasteful number, since it uses less digits than its factorization.

2457713232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 811 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 2457713232 is about 49575.3288642647. The cubic root of 2457713232 is about 1349.5129897651.

The spelling of 2457713232 in words is "two billion, four hundred fifty-seven million, seven hundred thirteen thousand, two hundred thirty-two".