2090882400 has 144 divisors (see below), whose sum is σ = 6907932864. Its totient is φ = 549204480.

The previous prime is 2090882369. The next prime is 2090882419. The reversal of 2090882400 is 42880902.

It is a congruent number.

It is an unprimeable number.

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, 154299 + ... + 167301.

It is an arithmetic number, because the mean of its divisors is an integer number (47971756).

Almost surely, 2^2090882400 is an apocalyptic number.

2090882400 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 2090882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453966432).

2090882400 is an abundant number, since it is smaller than the sum of its proper divisors (4817050464).

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

2090882400 is a wasteful number, since it uses less digits than its factorization.

2090882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13093 (or 13080 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2090882400 is about 45726.1675630049. The cubic root of 2090882400 is about 1278.7231733770.

The spelling of 2090882400 in words is "two billion, ninety million, eight hundred eighty-two thousand, four hundred".