2057347600 has 120 divisors (see below), whose sum is σ = 6162516288. Its totient is φ = 641241600.

The previous prime is 2057347597. The next prime is 2057347603. The reversal of 2057347600 is 67437502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2057347597) and next prime (2057347603).

It is not an unprimeable number, because it can be changed into a prime (2057347603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2599 + ... + 64198.

Almost surely, 2^2057347600 is an apocalyptic number.

2057347600 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 2057347600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081258144).

2057347600 is an abundant number, since it is smaller than the sum of its proper divisors (4105168688).

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

2057347600 is a wasteful number, since it uses less digits than its factorization.

2057347600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66833 (or 66822 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 2057347600 is about 45357.9937827942. The cubic root of 2057347600 is about 1271.8499915396.

The spelling of 2057347600 in words is "two billion, fifty-seven million, three hundred forty-seven thousand, six hundred".