2057420806480 has 160 divisors (see below), whose sum is σ = 5290057977120. Its totient is φ = 739316367360.

The previous prime is 2057420806471. The next prime is 2057420806481. The reversal of 2057420806480 is 846080247502.

It can be written as a sum of positive squares in 16 ways, for example, as 251149317904 + 1806271488576 = 501148^2 + 1343976^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2057420806480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057420806481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17380774 + ... + 17498746.

It is an arithmetic number, because the mean of its divisors is an integer number (33062862357).

Almost surely, 2^{2057420806480} is an apocalyptic number.

2057420806480 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 2057420806480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645028988560).

2057420806480 is an abundant number, since it is smaller than the sum of its proper divisors (3232637170640).

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

2057420806480 is a wasteful number, since it uses less digits than its factorization.

2057420806480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118449 (or 118443 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 46.

The spelling of 2057420806480 in words is "two trillion, fifty-seven billion, four hundred twenty million, eight hundred six thousand, four hundred eighty".