2204842464 has 192 divisors, whose sum is σ = 7070112000. Its totient is φ = 662929920.

The previous prime is 2204842447. The next prime is 2204842477. The reversal of 2204842464 is 4642484022.

It is a happy number.

2204842464 is a `hidden beast` number, since 220 + 4 + 8 + 424 + 6 + 4 = 666.

It is a super-2 number, since 2×2204842464² = 9722660582115182592, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1320222 + ... + 1321890.

It is an arithmetic number, because the mean of its divisors is an integer number (36823500).

Almost surely, 2^2204842464 is an apocalyptic number.

2204842464 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 2204842464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535056000).

2204842464 is an abundant number, since it is smaller than the sum of its proper divisors (4865269536).

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

2204842464 is a wasteful number, since it uses less digits than its factorization.

2204842464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 2204842464 is about 46955.7500632244. The cubic root of 2204842464 is about 1301.5450001800.

The spelling of 2204842464 in words is "two billion, two hundred four million, eight hundred forty-two thousand, four hundred sixty-four".