2057306944 has 168 divisors, whose sum is σ = 5408054208. Its totient is φ = 766402560.

The previous prime is 2057306941. The next prime is 2057306957. The reversal of 2057306944 is 4496037502.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2057306897 and 2057306906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057306941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 792112 + ... + 794704.

Almost surely, 2^2057306944 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 2057306944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704027104).

2057306944 is an abundant number, since it is smaller than the sum of its proper divisors (3350747264).

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

2057306944 is a wasteful number, since it uses less digits than its factorization.

2057306944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 2057306944 is about 45357.5456126100. The cubic root of 2057306944 is about 1271.8416136531.

The spelling of 2057306944 in words is "two billion, fifty-seven million, three hundred six thousand, nine hundred forty-four".