2057908569840 has 800 divisors, whose sum is σ = 7713256320000. Its totient is φ = 506875262976.

The previous prime is 2057908569839. The next prime is 2057908569841. The reversal of 2057908569840 is 489658097502.

2057908569840 is a `hidden beast` number, since 2 + 0 + 579 + 0 + 8 + 56 + 9 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2057908569839) and next prime (2057908569841).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057908569841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2019536851 + ... + 2019537869.

It is an arithmetic number, because the mean of its divisors is an integer number (9641570400).

Almost surely, 2^{2057908569840} is an apocalyptic number.

2057908569840 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 2057908569840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856628160000).

2057908569840 is an abundant number, since it is smaller than the sum of its proper divisors (5655347750160).

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

2057908569840 is a wasteful number, since it uses less digits than its factorization.

2057908569840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 2057908569840 in words is "two trillion, fifty-seven billion, nine hundred eight million, five hundred sixty-nine thousand, eight hundred forty".