2057986560 has 160 divisors (see below), whose sum is σ = 7519197312. Its totient is φ = 470384640.

The previous prime is 2057986549. The next prime is 2057986573. The reversal of 2057986560 is 656897502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×2057986560² = 8470617362281267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34620 + ... + 72900.

Almost surely, 2^2057986560 is an apocalyptic number.

2057986560 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 2057986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759598656).

2057986560 is an abundant number, since it is smaller than the sum of its proper divisors (5461210752).

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

2057986560 is an equidigital number, since it uses as much as digits as its factorization.

2057986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38314 (or 38298 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 2057986560 is about 45365.0367573972. The cubic root of 2057986560 is about 1271.9816460308.

The spelling of 2057986560 in words is "two billion, fifty-seven million, nine hundred eighty-six thousand, five hundred sixty".