2085979680 has 144 divisors (see below), whose sum is σ = 7135128000. Its totient is φ = 554955264.

The previous prime is 2085979667. The next prime is 2085979681. The reversal of 2085979680 is 869795802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2085979680² = 8702622450745804800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2085979681) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 717109 + ... + 720011.

It is an arithmetic number, because the mean of its divisors is an integer number (49549500).

Almost surely, 2^2085979680 is an apocalyptic number.

2085979680 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 2085979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567564000).

2085979680 is an abundant number, since it is smaller than the sum of its proper divisors (5049148320).

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

2085979680 is a wasteful number, since it uses less digits than its factorization.

2085979680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 2085979680 is about 45672.5265340117. The cubic root of 2085979680 is about 1277.7229372865.

The spelling of 2085979680 in words is "two billion, eighty-five million, nine hundred seventy-nine thousand, six hundred eighty".