2057302368 has 192 divisors, whose sum is σ = 6891091200. Its totient is φ = 590561280.

The previous prime is 2057302361. The next prime is 2057302399. The reversal of 2057302368 is 8632037502.

2057302368 is a `hidden beast` number, since 2 + 0 + 573 + 0 + 23 + 68 = 666.

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 (2057302361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174880 + ... + 186272.

It is an arithmetic number, because the mean of its divisors is an integer number (35891100).

Almost surely, 2^2057302368 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 2057302368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445545600).

2057302368 is an abundant number, since it is smaller than the sum of its proper divisors (4833788832).

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

2057302368 is a wasteful number, since it uses less digits than its factorization.

2057302368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11442 (or 11428 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2057302368 is about 45357.4951689354. The cubic root of 2057302368 is about 1271.8406706807.

The spelling of 2057302368 in words is "two billion, fifty-seven million, three hundred two thousand, three hundred sixty-eight".