2085834240 has 480 divisors, whose sum is σ = 8579450880. Its totient is φ = 475766784.

The previous prime is 2085834229. The next prime is 2085834271. The reversal of 2085834240 is 424385802.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 2085834195 and 2085834204.

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 47 ways as a sum of consecutive naturals, for example, 4354321 + ... + 4354799.

It is an arithmetic number, because the mean of its divisors is an integer number (17873856).

Almost surely, 2^2085834240 is an apocalyptic number.

2085834240 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 2085834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289725440).

2085834240 is an abundant number, since it is smaller than the sum of its proper divisors (6493616640).

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

2085834240 is an frugal number, since it uses more digits than its factorization.

2085834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2085834240 is about 45670.9343018073. The cubic root of 2085834240 is about 1277.6932411930.

The spelling of 2085834240 in words is "two billion, eighty-five million, eight hundred thirty-four thousand, two hundred forty".