2085714892800 has 1728 divisors, whose sum is σ = 9638720582400. Its totient is φ = 418244198400.

The previous prime is 2085714892769. The next prime is 2085714892813. The reversal of 2085714892800 is 82984175802.

2085714892800 is a `hidden beast` number, since 2 + 0 + 8 + 571 + 48 + 9 + 28 + 0 + 0 = 666.

It is a super-2 number, since 2×2085714892800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1028965387 + ... + 1028967413.

It is an arithmetic number, because the mean of its divisors is an integer number (5577963300).

Almost surely, 2^{2085714892800} is an apocalyptic number.

2085714892800 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 2085714892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819360291200).

2085714892800 is an abundant number, since it is smaller than the sum of its proper divisors (7553005689600).

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

2085714892800 is a wasteful number, since it uses less digits than its factorization.

2085714892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 2085714892800 in words is "two trillion, eighty-five billion, seven hundred fourteen million, eight hundred ninety-two thousand, eight hundred".