2082290880 has 112 divisors (see below), whose sum is σ = 6620256000. Its totient is φ = 554523648.

The previous prime is 2082290869. The next prime is 2082290891. The reversal of 2082290880 is 880922802.

It is an interprime number because it is at equal distance from previous prime (2082290869) and next prime (2082290891).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1388371 + ... + 1389869.

Almost surely, 2^2082290880 is an apocalyptic number.

2082290880 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 2082290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310128000).

2082290880 is an abundant number, since it is smaller than the sum of its proper divisors (4537965120).

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

2082290880 is a wasteful number, since it uses less digits than its factorization.

2082290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 2082290880 is about 45632.1255257741. The cubic root of 2082290880 is about 1276.9693272959.

The spelling of 2082290880 in words is "two billion, eighty-two million, two hundred ninety thousand, eight hundred eighty".