2057971776 has 336 divisors, whose sum is σ = 6914692800. Its totient is φ = 536481792.

The previous prime is 2057971763. The next prime is 2057971781. The reversal of 2057971776 is 6771797502.

It is a tau number, because it is divible by the number of its divisors (336).

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, 5183610 + ... + 5184006.

Almost surely, 2^2057971776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057971776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457346400).

2057971776 is an abundant number, since it is smaller than the sum of its proper divisors (4856721024).

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

2057971776 is a wasteful number, since it uses less digits than its factorization.

2057971776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 1296540, while the sum is 51.

The square root of 2057971776 is about 45364.8738122349. The cubic root of 2057971776 is about 1271.9786001700.

The spelling of 2057971776 in words is "two billion, fifty-seven million, nine hundred seventy-one thousand, seven hundred seventy-six".