2086582944 has 96 divisors (see below), whose sum is σ = 5744329920. Its totient is φ = 662280192.

The previous prime is 2086582933. The next prime is 2086582951. The reversal of 2086582944 is 4492856802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 2086582893 and 2086582902.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 198099 + ... + 208365.

It is an arithmetic number, because the mean of its divisors is an integer number (59836770).

Almost surely, 2^2086582944 is an apocalyptic number.

2086582944 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 2086582944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872164960).

2086582944 is an abundant number, since it is smaller than the sum of its proper divisors (3657746976).

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

2086582944 is a wasteful number, since it uses less digits than its factorization.

2086582944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10382 (or 10374 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 2086582944 is about 45679.1302894440. The cubic root of 2086582944 is about 1277.8460976356.

The spelling of 2086582944 in words is "two billion, eighty-six million, five hundred eighty-two thousand, nine hundred forty-four".