2057882400 has 648 divisors, whose sum is σ = 8914585680. Its totient is φ = 444165120.

The previous prime is 2057882377. The next prime is 2057882401. The reversal of 2057882400 is 42887502.

It is a happy number.

2057882400 is a `hidden beast` number, since 2 + 0 + 578 + 82 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2057882401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6703047 + ... + 6703353.

Almost surely, 2^2057882400 is an apocalyptic number.

2057882400 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 2057882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457292840).

2057882400 is an abundant number, since it is smaller than the sum of its proper divisors (6856703280).

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

2057882400 is a wasteful number, since it uses less digits than its factorization.

2057882400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2057882400 is about 45363.8887221984. Note that the first 3 decimals coincide. The cubic root of 2057882400 is about 1271.9601862464.

The spelling of 2057882400 in words is "two billion, fifty-seven million, eight hundred eighty-two thousand, four hundred".