2204116992 has 288 divisors, whose sum is σ = 7941810240. Its totient is φ = 572129280.

The previous prime is 2204116969. The next prime is 2204117009. The reversal of 2204116992 is 2996114022.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1418488 + ... + 1420040.

It is an arithmetic number, because the mean of its divisors is an integer number (27575730).

Almost surely, 2^2204116992 is an apocalyptic number.

2204116992 is a gapful number since it is divisible by the number (22) 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 2204116992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970905120).

2204116992 is an abundant number, since it is smaller than the sum of its proper divisors (5737693248).

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

2204116992 is a wasteful number, since it uses less digits than its factorization.

2204116992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1576 counting only the distinct ones).

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

The square root of 2204116992 is about 46948.0243673789. The cubic root of 2204116992 is about 1301.4022329073.

The spelling of 2204116992 in words is "two billion, two hundred four million, one hundred sixteen thousand, nine hundred ninety-two".