2090134368 has 576 divisors, whose sum is σ = 7749181440. Its totient is φ = 540836352.

The previous prime is 2090134357. The next prime is 2090134373. The reversal of 2090134368 is 8634310902.

2090134368 is a `hidden beast` number, since 209 + 0 + 13 + 436 + 8 = 666.

2090134368 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44470921 + ... + 44470967.

It is an arithmetic number, because the mean of its divisors is an integer number (13453440).

Almost surely, 2^2090134368 is an apocalyptic number.

2090134368 is a gapful number since it is divisible by the number (28) 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 2090134368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874590720).

2090134368 is an abundant number, since it is smaller than the sum of its proper divisors (5659047072).

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

2090134368 is a wasteful number, since it uses less digits than its factorization.

2090134368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2090134368 is about 45717.9873572755. The cubic root of 2090134368 is about 1278.5706636130.

The spelling of 2090134368 in words is "two billion, ninety million, one hundred thirty-four thousand, three hundred sixty-eight".