2057491600 has 30 divisors (see below), whose sum is σ = 4943124530. Its totient is φ = 822996480.

The previous prime is 2057491573. The next prime is 2057491609. The reversal of 2057491600 is 61947502.

It can be written as a sum of positive squares in 3 ways, for example, as 103144336 + 1954347264 = 10156^2 + 44208^2 .

It is not an unprimeable number, because it can be changed into a prime (2057491609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2571465 + ... + 2572264.

Almost surely, 2^2057491600 is an apocalyptic number.

2057491600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2057491600 is an abundant number, since it is smaller than the sum of its proper divisors (2885632930).

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

2057491600 is a wasteful number, since it uses less digits than its factorization.

2057491600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5143747 (or 5143736 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 2057491600 is about 45359.5811268138. The cubic root of 2057491600 is about 1271.8796643938.

The spelling of 2057491600 in words is "two billion, fifty-seven million, four hundred ninety-one thousand, six hundred".