2057251440 has 40 divisors (see below), whose sum is σ = 6377480208. Its totient is φ = 548600320.

The previous prime is 2057251439. The next prime is 2057251459. The reversal of 2057251440 is 441527502.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2057251398 and 2057251407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4285701 + ... + 4286180.

Almost surely, 2^2057251440 is an apocalyptic number.

2057251440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2057251440 is an abundant number, since it is smaller than the sum of its proper divisors (4320228768).

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

2057251440 is a wasteful number, since it uses less digits than its factorization.

2057251440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8571897 (or 8571891 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 2057251440 is about 45356.9337587981. The cubic root of 2057251440 is about 1271.8301758960.

Adding to 2057251440 its reverse (441527502), we get a palindrome (2498778942).

The spelling of 2057251440 in words is "two billion, fifty-seven million, two hundred fifty-one thousand, four hundred forty".