2085933661344 has 960 divisors, whose sum is σ = 7225813647360. Its totient is φ = 584573552640.

The previous prime is 2085933661333. The next prime is 2085933661367. The reversal of 2085933661344 is 4431663395802.

2085933661344 is a `hidden beast` number, since 2 + 0 + 8 + 593 + 3 + 6 + 6 + 1 + 3 + 44 = 666.

It is a super-2 number, since 2×2085933661344² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4505256057 + ... + 4505256519.

It is an arithmetic number, because the mean of its divisors is an integer number (7526889216).

Almost surely, 2^{2085933661344} is an apocalyptic number.

2085933661344 is a gapful number since it is divisible by the number (24) 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 2085933661344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612906823680).

2085933661344 is an abundant number, since it is smaller than the sum of its proper divisors (5139879986016).

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

2085933661344 is a wasteful number, since it uses less digits than its factorization.

2085933661344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 2085933661344 in words is "two trillion, eighty-five billion, nine hundred thirty-three million, six hundred sixty-one thousand, three hundred forty-four".