2457045360 has 960 divisors, whose sum is σ = 11399270400. Its totient is φ = 474439680.

The previous prime is 2457045359. The next prime is 2457045379. The reversal of 2457045360 is 635407542.

2457045360 is a `hidden beast` number, since 24 + 570 + 4 + 5 + 3 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31101801 + ... + 31101879.

It is an arithmetic number, because the mean of its divisors is an integer number (11874240).

Almost surely, 2^2457045360 is an apocalyptic number.

2457045360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2457045360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5699635200).

2457045360 is an abundant number, since it is smaller than the sum of its proper divisors (8942225040).

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

2457045360 is a wasteful number, since it uses less digits than its factorization.

2457045360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2457045360 is about 49568.5924754779. The cubic root of 2457045360 is about 1349.3907374234.

The spelling of 2457045360 in words is "two billion, four hundred fifty-seven million, forty-five thousand, three hundred sixty".