2057638440 has 256 divisors, whose sum is σ = 7634995200. Its totient is φ = 436147200.

The previous prime is 2057638439. The next prime is 2057638463. The reversal of 2057638440 is 448367502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322885 + ... + 329195.

It is an arithmetic number, because the mean of its divisors is an integer number (29824200).

Almost surely, 2^2057638440 is an apocalyptic number.

2057638440 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 2057638440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817497600).

2057638440 is an abundant number, since it is smaller than the sum of its proper divisors (5577356760).

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

2057638440 is a wasteful number, since it uses less digits than its factorization.

2057638440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6368 (or 6364 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 2057638440 is about 45361.1997195841. The cubic root of 2057638440 is about 1271.9099210369.

The spelling of 2057638440 in words is "two billion, fifty-seven million, six hundred thirty-eight thousand, four hundred forty".