2085976704 has 256 divisors, whose sum is σ = 6768230400. Its totient is φ = 555663360.

The previous prime is 2085976661. The next prime is 2085976729. The reversal of 2085976704 is 4076795802.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 8727817 + ... + 8728055.

It is an arithmetic number, because the mean of its divisors is an integer number (26438400).

Almost surely, 2^2085976704 is an apocalyptic number.

2085976704 is a gapful number since it is divisible by the number (24) 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 2085976704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384115200).

2085976704 is an abundant number, since it is smaller than the sum of its proper divisors (4682253696).

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

2085976704 is a wasteful number, since it uses less digits than its factorization.

2085976704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 2085976704 is about 45672.4939542390. The cubic root of 2085976704 is about 1277.7223296575.

The spelling of 2085976704 in words is "two billion, eighty-five million, nine hundred seventy-six thousand, seven hundred four".