2085922800 has 480 divisors, whose sum is σ = 8136979200. Its totient is φ = 504437760.

The previous prime is 2085922799. The next prime is 2085922807. The reversal of 2085922800 is 82295802.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085922807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11653111 + ... + 11653289.

It is an arithmetic number, because the mean of its divisors is an integer number (16952040).

Almost surely, 2^2085922800 is an apocalyptic number.

2085922800 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 2085922800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068489600).

2085922800 is an abundant number, since it is smaller than the sum of its proper divisors (6051056400).

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

2085922800 is a wasteful number, since it uses less digits than its factorization.

2085922800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2085922800 is about 45671.9038359471. The cubic root of 2085922800 is about 1277.7113236321.

The spelling of 2085922800 in words is "two billion, eighty-five million, nine hundred twenty-two thousand, eight hundred".