2057777983920 has 160 divisors (see below), whose sum is σ = 6771202776000. Its totient is φ = 515173580800.

The previous prime is 2057777983913. The next prime is 2057777983939. The reversal of 2057777983920 is 293897777502.

It is a happy number.

It is a super-2 number, since 2×2057777983920² (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1007206 + ... + 2264954.

It is an arithmetic number, because the mean of its divisors is an integer number (42320017350).

Almost surely, 2^{2057777983920} is an apocalyptic number.

2057777983920 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 2057777983920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385601388000).

2057777983920 is an abundant number, since it is smaller than the sum of its proper divisors (4713424792080).

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

2057777983920 is a wasteful number, since it uses less digits than its factorization.

2057777983920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258183 (or 1258177 counting only the distinct ones).

The product of its (nonzero) digits is 93350880, while the sum is 66.

The spelling of 2057777983920 in words is "two trillion, fifty-seven billion, seven hundred seventy-seven million, nine hundred eighty-three thousand, nine hundred twenty".