2085640000 has 140 divisors (see below), whose sum is σ = 5398946784. Its totient is φ = 797632000.

The previous prime is 2085639991. The next prime is 2085640021. The reversal of 2085640000 is 465802.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 918867 + ... + 921133.

Almost surely, 2^2085640000 is an apocalyptic number.

2085640000 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 2085640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699473392).

2085640000 is an abundant number, since it is smaller than the sum of its proper divisors (3313306784).

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

2085640000 is an equidigital number, since it uses as much as digits as its factorization.

2085640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2085640000 is about 45668.8077356964. The cubic root of 2085640000 is about 1277.6535789107.

The spelling of 2085640000 in words is "two billion, eighty-five million, six hundred forty thousand".