2057180160 has 528 divisors, whose sum is σ = 8086075776. Its totient is φ = 437059584.

The previous prime is 2057180143. The next prime is 2057180189. The reversal of 2057180160 is 610817502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38814694 + ... + 38814746.

Almost surely, 2^2057180160 is an apocalyptic number.

2057180160 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 2057180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043037888).

2057180160 is an abundant number, since it is smaller than the sum of its proper divisors (6028895616).

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

2057180160 is a wasteful number, since it uses less digits than its factorization.

2057180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 2057180160 is about 45356.1479845897. The cubic root of 2057180160 is about 1271.8154868631.

Adding to 2057180160 its reverse (610817502), we get a palindrome (2667997662).

The spelling of 2057180160 in words is "two billion, fifty-seven million, one hundred eighty thousand, one hundred sixty".