2085342336 has 192 divisors, whose sum is σ = 7481822400. Its totient is φ = 541624320.

The previous prime is 2085342331. The next prime is 2085342361. The reversal of 2085342336 is 6332435802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2085342336.

It is not an unprimeable number, because it can be changed into a prime (2085342331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76950 + ... + 100458.

It is an arithmetic number, because the mean of its divisors is an integer number (38967825).

Almost surely, 2^2085342336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740911200).

2085342336 is an abundant number, since it is smaller than the sum of its proper divisors (5396480064).

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

2085342336 is a wasteful number, since it uses less digits than its factorization.

2085342336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23547 (or 23532 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2085342336 is about 45665.5486773125. The cubic root of 2085342336 is about 1277.5927934812.

The spelling of 2085342336 in words is "two billion, eighty-five million, three hundred forty-two thousand, three hundred thirty-six".