2057747328000 has 2112 divisors, whose sum is σ = 9477487638528. Its totient is φ = 433564876800.

The previous prime is 2057747327981. The next prime is 2057747328017. The reversal of 2057747328000 is 8237477502.

2057747328000 is a `hidden beast` number, since 2 + 0 + 577 + 4 + 73 + 2 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×2057747328000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2830463637 + ... + 2830464363.

Almost surely, 2^{2057747328000} is an apocalyptic number.

2057747328000 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 2057747328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4738743819264).

2057747328000 is an abundant number, since it is smaller than the sum of its proper divisors (7419740310528).

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

2057747328000 is an equidigital number, since it uses as much as digits as its factorization.

2057747328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 2057747328000 in words is "two trillion, fifty-seven billion, seven hundred forty-seven million, three hundred twenty-eight thousand".