2090090368800 has 720 divisors, whose sum is σ = 8719836269760. Its totient is φ = 477252311040.

The previous prime is 2090090368789. The next prime is 2090090368801. The reversal of 2090090368800 is 88630900902.

2090090368800 is a `hidden beast` number, since 209 + 0 + 0 + 9 + 0 + 368 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2090090368801) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 647285586 + ... + 647288814.

It is an arithmetic number, because the mean of its divisors is an integer number (12110883708).

Almost surely, 2^{2090090368800} is an apocalyptic number.

2090090368800 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 2090090368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359918134880).

2090090368800 is an abundant number, since it is smaller than the sum of its proper divisors (6629745900960).

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

2090090368800 is a wasteful number, since it uses less digits than its factorization.

2090090368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 2090090368800 in words is "two trillion, ninety billion, ninety million, three hundred sixty-eight thousand, eight hundred".