2085164796 has 192 divisors, whose sum is σ = 5907396096. Its totient is φ = 564096000.

The previous prime is 2085164791. The next prime is 2085164863. The reversal of 2085164796 is 6974615802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085164791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9185635 + ... + 9185861.

It is an arithmetic number, because the mean of its divisors is an integer number (30767688).

Almost surely, 2^2085164796 is an apocalyptic number.

2085164796 is a gapful number since it is divisible by the number (26) 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 2085164796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953698048).

2085164796 is an abundant number, since it is smaller than the sum of its proper divisors (3822231300).

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

2085164796 is a wasteful number, since it uses less digits than its factorization.

2085164796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 2085164796 is about 45663.6047197328. The cubic root of 2085164796 is about 1277.5565356036.

It can be divided in two parts, 208516 and 4796, that added together give a palindrome (213312).

The spelling of 2085164796 in words is "two billion, eighty-five million, one hundred sixty-four thousand, seven hundred ninety-six".