2057961984 has 160 divisors (see below), whose sum is σ = 6162355584. Its totient is φ = 605552640.

The previous prime is 2057961959. The next prime is 2057962019. The reversal of 2057961984 is 4891697502.

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, 457024 + ... + 461504.

Almost surely, 2^2057961984 is an apocalyptic number.

2057961984 is a gapful number since it is divisible by the number (24) 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 2057961984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081177792).

2057961984 is an abundant number, since it is smaller than the sum of its proper divisors (4104393600).

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

2057961984 is a wasteful number, since it uses less digits than its factorization.

2057961984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4538 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The square root of 2057961984 is about 45364.7658871949. The cubic root of 2057961984 is about 1271.9765827737.

The spelling of 2057961984 in words is "two billion, fifty-seven million, nine hundred sixty-one thousand, nine hundred eighty-four".