2057594640 has 160 divisors (see below), whose sum is σ = 6479049600. Its totient is φ = 540131328.

The previous prime is 2057594633. The next prime is 2057594657. The reversal of 2057594640 is 464957502.

It is a junction number, because it is equal to n+sod(n) for n = 2057594592 and 2057594601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5828704 + ... + 5829056.

It is an arithmetic number, because the mean of its divisors is an integer number (40494060).

Almost surely, 2^2057594640 is an apocalyptic number.

2057594640 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 2057594640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239524800).

2057594640 is an abundant number, since it is smaller than the sum of its proper divisors (4421454960).

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

2057594640 is a wasteful number, since it uses less digits than its factorization.

2057594640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 2057594640 is about 45360.7169255513. The cubic root of 2057594640 is about 1271.9008961197.

The spelling of 2057594640 in words is "two billion, fifty-seven million, five hundred ninety-four thousand, six hundred forty".