2290089984 has 192 divisors, whose sum is σ = 7516192320. Its totient is φ = 603979776.

The previous prime is 2290089953. The next prime is 2290090003. The reversal of 2290089984 is 4899800922.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176160762 + ... + 176160774.

It is an arithmetic number, because the mean of its divisors is an integer number (39146835).

Almost surely, 2^2290089984 is an apocalyptic number.

2290089984 is a gapful number since it is divisible by the number (24) 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 2290089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758096160).

2290089984 is an abundant number, since it is smaller than the sum of its proper divisors (5226102336).

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

2290089984 is an frugal number, since it uses more digits than its factorization.

2290089984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 2290089984 is about 47854.8846409643. The cubic root of 2290089984 is about 1318.1075544519.

The spelling of 2290089984 in words is "two billion, two hundred ninety million, eighty-nine thousand, nine hundred eighty-four".