2057200884288 has 896 divisors, whose sum is σ = 7202838528000. Its totient is φ = 570410035200.

The previous prime is 2057200884281. The next prime is 2057200884293. The reversal of 2057200884288 is 8824880027502.

2057200884288 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 200 + 8 + 8 + 428 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2057200884281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4041651778 + ... + 4041652286.

Almost surely, 2^{2057200884288} 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 2057200884288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601419264000).

2057200884288 is an abundant number, since it is smaller than the sum of its proper divisors (5145637643712).

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

2057200884288 is a wasteful number, since it uses less digits than its factorization.

2057200884288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 2057200884288 in words is "two trillion, fifty-seven billion, two hundred million, eight hundred eighty-four thousand, two hundred eighty-eight".