2057744016 has 120 divisors (see below), whose sum is σ = 5913976640. Its totient is φ = 667554048.

The previous prime is 2057743979. The next prime is 2057744021. The reversal of 2057744016 is 6104477502.

2057744016 is a `hidden beast` number, since 205 + 7 + 7 + 440 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2717910 + ... + 2718666.

Almost surely, 2^2057744016 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 2057744016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956988320).

2057744016 is an abundant number, since it is smaller than the sum of its proper divisors (3856232624).

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

2057744016 is a wasteful number, since it uses less digits than its factorization.

2057744016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2057744016 is about 45362.3634304916. The cubic root of 2057744016 is about 1271.9316742699.

The spelling of 2057744016 in words is "two billion, fifty-seven million, seven hundred forty-four thousand, sixteen".