2057257440 has 288 divisors, whose sum is σ = 8321564160. Its totient is φ = 470168064.

The previous prime is 2057257439. The next prime is 2057257441. The reversal of 2057257440 is 447527502.

It is a happy number.

2057257440 is a `hidden beast` number, since 205 + 7 + 2 + 5 + 7 + 440 = 666.

2057257440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2057257439) and next prime (2057257441).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2057257395 and 2057257404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057257441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268381 + ... + 275939.

It is an arithmetic number, because the mean of its divisors is an integer number (28894320).

Almost surely, 2^2057257440 is an apocalyptic number.

2057257440 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 2057257440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160782080).

2057257440 is an abundant number, since it is smaller than the sum of its proper divisors (6264306720).

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

2057257440 is an equidigital number, since it uses as much as digits as its factorization.

2057257440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7596 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 2057257440 is about 45356.9999007871. Note that the first 4 decimals coincide. The cubic root of 2057257440 is about 1271.8314123311.

The spelling of 2057257440 in words is "two billion, fifty-seven million, two hundred fifty-seven thousand, four hundred forty".