2057930485200 has 600 divisors, whose sum is σ = 7822548456800. Its totient is φ = 516683473920.

The previous prime is 2057930485153. The next prime is 2057930485213. The reversal of 2057930485200 is 25840397502.

2057930485200 is a `hidden beast` number, since 2 + 0 + 57 + 9 + 30 + 48 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 100332546 + ... + 100353054.

Almost surely, 2^{2057930485200} is an apocalyptic number.

2057930485200 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 2057930485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911274228400).

2057930485200 is an abundant number, since it is smaller than the sum of its proper divisors (5764617971600).

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

2057930485200 is a wasteful number, since it uses less digits than its factorization.

2057930485200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20721 (or 20701 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 2057930485200 in words is "two trillion, fifty-seven billion, nine hundred thirty million, four hundred eighty-five thousand, two hundred".