2085753600 has 486 divisors, whose sum is σ = 8686253940. Its totient is φ = 476098560.

The previous prime is 2085753589. The next prime is 2085753601. The reversal of 2085753600 is 63575802.

2085753600 is a `hidden beast` number, since 20 + 8 + 575 + 3 + 60 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2085753601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2822031 + ... + 2822769.

Almost surely, 2^2085753600 is an apocalyptic number.

2085753600 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 2085753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343126970).

2085753600 is an abundant number, since it is smaller than the sum of its proper divisors (6600500340).

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

2085753600 is a wasteful number, since it uses less digits than its factorization.

2085753600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2085753600 is about 45670.0514560691. The cubic root of 2085753600 is about 1277.6767754373.

The spelling of 2085753600 in words is "two billion, eighty-five million, seven hundred fifty-three thousand, six hundred".