2571712312320 has 616 divisors, whose sum is σ = 9273509017704. Its totient is φ = 684005326848.

The previous prime is 2571712312259. The next prime is 2571712312339. The reversal of 2571712312320 is 232132171752.

2571712312320 is a `hidden beast` number, since 2 + 5 + 7 + 1 + 7 + 12 + 312 + 320 = 666.

2571712312320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 115295560704 + 2456416751616 = 339552^2 + 1567296^2 .

It is a super-2 number, since 2×2571712312320² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2078990742 + ... + 2078991978.

Almost surely, 2^{2571712312320} is an apocalyptic number.

2571712312320 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 2571712312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636754508852).

2571712312320 is an abundant number, since it is smaller than the sum of its proper divisors (6701796705384).

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

2571712312320 is an equidigital number, since it uses as much as digits as its factorization.

2571712312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 2571712312320 in words is "two trillion, five hundred seventy-one billion, seven hundred twelve million, three hundred twelve thousand, three hundred twenty".