2057196960 has 384 divisors, whose sum is σ = 8863464960. Its totient is φ = 433963008.

The previous prime is 2057196923. The next prime is 2057197007. The reversal of 2057196960 is 696917502.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390504 + ... + 395736.

It is an arithmetic number, because the mean of its divisors is an integer number (23081940).

Almost surely, 2^2057196960 is an apocalyptic number.

2057196960 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 2057196960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431732480).

2057196960 is an abundant number, since it is smaller than the sum of its proper divisors (6806268000).

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

2057196960 is a wasteful number, since it uses less digits than its factorization.

2057196960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5277 (or 5263 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 2057196960 is about 45356.3331851242. Note that the first 3 decimals coincide. The cubic root of 2057196960 is about 1271.8189489553.

The spelling of 2057196960 in words is "two billion, fifty-seven million, one hundred ninety-six thousand, nine hundred sixty".