2090188800 has 630 divisors, whose sum is σ = 8881954088. Its totient is φ = 477757440.

The previous prime is 2090188787. The next prime is 2090188813. The reversal of 2090188800 is 88810902.

It is a Jordan-Polya number, since it can be written as 10! ⋅ (4!)².

It is an interprime number because it is at equal distance from previous prime (2090188787) and next prime (2090188813).

It is a tau number, because it is divible by the number of its divisors (630).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 298598397 + ... + 298598403.

Almost surely, 2^2090188800 is an apocalyptic number.

2090188800 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 2090188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440977044).

2090188800 is an abundant number, since it is smaller than the sum of its proper divisors (6791765288).

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

2090188800 is an frugal number, since it uses more digits than its factorization.

2090188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 2090188800 is about 45718.5826551961. The cubic root of 2090188800 is about 1278.5817625093.

The spelling of 2090188800 in words is "two billion, ninety million, one hundred eighty-eight thousand, eight hundred".