2244204864 has 336 divisors, whose sum is σ = 7369113024. Its totient is φ = 646963200.

The previous prime is 2244204863. The next prime is 2244204869. The reversal of 2244204864 is 4684024422.

It is a happy number.

2244204864 is a `hidden beast` number, since 224 + 420 + 4 + 8 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244204863) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13768047 + ... + 13768209.

It is an arithmetic number, because the mean of its divisors is an integer number (21931884).

Almost surely, 2^2244204864 is an apocalyptic number.

2244204864 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 2244204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684556512).

2244204864 is an abundant number, since it is smaller than the sum of its proper divisors (5124908160).

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

2244204864 is a wasteful number, since it uses less digits than its factorization.

2244204864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

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

The square root of 2244204864 is about 47373.0394211729. The cubic root of 2244204864 is about 1309.2447259495.

The spelling of 2244204864 in words is "two billion, two hundred forty-four million, two hundred four thousand, eight hundred sixty-four".