2290906800 has 1080 divisors, whose sum is σ = 10607456496. Its totient is φ = 470292480.

The previous prime is 2290906781. The next prime is 2290906831. The reversal of 2290906800 is 86090922.

It is a tau number, because it is divible by the number of its divisors (1080).

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 (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 61916382 + ... + 61916418.

Almost surely, 2^2290906800 is an apocalyptic number.

2290906800 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 2290906800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303728248).

2290906800 is an abundant number, since it is smaller than the sum of its proper divisors (8316549696).

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

2290906800 is a wasteful number, since it uses less digits than its factorization.

2290906800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2290906800 is about 47863.4181813209. The cubic root of 2290906800 is about 1318.2642474739.

The spelling of 2290906800 in words is "two billion, two hundred ninety million, nine hundred six thousand, eight hundred".