2090088000 has 1344 divisors, whose sum is σ = 10384657920. Its totient is φ = 387072000.

The previous prime is 2090087959. The next prime is 2090088017. The reversal of 2090088000 is 8800902.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 72071986 + ... + 72072014.

It is an arithmetic number, because the mean of its divisors is an integer number (7726680).

Almost surely, 2^2090088000 is an apocalyptic number.

2090088000 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 2090088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192328960).

2090088000 is an abundant number, since it is smaller than the sum of its proper divisors (8294569920).

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

2090088000 is a wasteful number, since it uses less digits than its factorization.

2090088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2090088000 is about 45717.4802455253. The cubic root of 2090088000 is about 1278.5612088456.

Adding to 2090088000 its reverse (8800902), we get a palindrome (2098888902).

It can be divided in two parts, 20900 and 88000, that added together give a square (108900 = 330²).

The spelling of 2090088000 in words is "two billion, ninety million, eighty-eight thousand".