2085372673920 has 1024 divisors, whose sum is σ = 7724524953600. Its totient is φ = 531351207936.

The previous prime is 2085372673907. The next prime is 2085372673939. The reversal of 2085372673920 is 293762735802.

2085372673920 is a `hidden beast` number, since 20 + 8 + 537 + 2 + 67 + 3 + 9 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8114290432 + ... + 8114290688.

It is an arithmetic number, because the mean of its divisors is an integer number (7543481400).

Almost surely, 2^{2085372673920} is an apocalyptic number.

2085372673920 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 2085372673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862262476800).

2085372673920 is an abundant number, since it is smaller than the sum of its proper divisors (5639152279680).

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

2085372673920 is a wasteful number, since it uses less digits than its factorization.

2085372673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 2085372673920 in words is "two trillion, eighty-five billion, three hundred seventy-two million, six hundred seventy-three thousand, nine hundred twenty".