2057874461440 has 576 divisors, whose sum is σ = 5849044992000. Its totient is φ = 679235420160.

The previous prime is 2057874461437. The next prime is 2057874461441. The reversal of 2057874461440 is 441644787502.

It is not an unprimeable number, because it can be changed into a prime (2057874461441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8986351246 + ... + 8986351474.

It is an arithmetic number, because the mean of its divisors is an integer number (10154592000).

Almost surely, 2^{2057874461440} is an apocalyptic number.

2057874461440 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 2057874461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924522496000).

2057874461440 is an abundant number, since it is smaller than the sum of its proper divisors (3791170530560).

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

2057874461440 is a wasteful number, since it uses less digits than its factorization.

2057874461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 52.

The spelling of 2057874461440 in words is "two trillion, fifty-seven billion, eight hundred seventy-four million, four hundred sixty-one thousand, four hundred forty".