2085293760 has 224 divisors, whose sum is σ = 7269260544. Its totient is φ = 502272000.

The previous prime is 2085293731. The next prime is 2085293801. The reversal of 2085293760 is 673925802.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1910815 + ... + 1911905.

It is an arithmetic number, because the mean of its divisors is an integer number (32452056).

Almost surely, 2^2085293760 is an apocalyptic number.

2085293760 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 2085293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3634630272).

2085293760 is an abundant number, since it is smaller than the sum of its proper divisors (5183966784).

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

2085293760 is a wasteful number, since it uses less digits than its factorization.

2085293760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2085293760 is about 45665.0168071797. The cubic root of 2085293760 is about 1277.5828733147.

The spelling of 2085293760 in words is "two billion, eighty-five million, two hundred ninety-three thousand, seven hundred sixty".