2057637648 has 80 divisors (see below), whose sum is σ = 5985902592. Its totient is φ = 603408000.

The previous prime is 2057637643. The next prime is 2057637649. The reversal of 2057637648 is 8467367502.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2057637597 and 2057637606.

It is not an unprimeable number, because it can be changed into a prime (2057637643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46488 + ... + 79223.

Almost surely, 2^2057637648 is an apocalyptic number.

It is an amenable number.

2057637648 is an abundant number, since it is smaller than the sum of its proper divisors (3928264944).

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

2057637648 is a wasteful number, since it uses less digits than its factorization.

2057637648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125764 (or 125758 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The square root of 2057637648 is about 45361.1909896555. The cubic root of 2057637648 is about 1271.9097578477.

The spelling of 2057637648 in words is "two billion, fifty-seven million, six hundred thirty-seven thousand, six hundred forty-eight".