2085717306400 has 576 divisors, whose sum is σ = 6353300862720. Its totient is φ = 651036672000.

The previous prime is 2085717306377. The next prime is 2085717306419. The reversal of 2085717306400 is 46037175802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3080822862 + ... + 3080823538.

It is an arithmetic number, because the mean of its divisors is an integer number (11030036220).

Almost surely, 2^{2085717306400} is an apocalyptic number.

2085717306400 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 2085717306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3176650431360).

2085717306400 is an abundant number, since it is smaller than the sum of its proper divisors (4267583556320).

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

2085717306400 is a wasteful number, since it uses less digits than its factorization.

2085717306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 2085717306400 in words is "two trillion, eighty-five billion, seven hundred seventeen million, three hundred six thousand, four hundred".