2204241984 has 560 divisors, whose sum is σ = 8261299200. Its totient is φ = 566590464.

The previous prime is 2204241973. The next prime is 2204241997. The reversal of 2204241984 is 4891424022.

2204241984 is a `hidden beast` number, since 220 + 424 + 1 + 9 + 8 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15857787 + ... + 15857925.

It is an arithmetic number, because the mean of its divisors is an integer number (14752320).

Almost surely, 2^2204241984 is an apocalyptic number.

2204241984 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 2204241984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130649600).

2204241984 is an abundant number, since it is smaller than the sum of its proper divisors (6057057216).

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

2204241984 is a wasteful number, since it uses less digits than its factorization.

2204241984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2204241984 is about 46949.3555227332. The cubic root of 2204241984 is about 1301.4268325987.

It can be divided in two parts, 2204241 and 984, that added together give a square (2205225 = 1485²).

The spelling of 2204241984 in words is "two billion, two hundred four million, two hundred forty-one thousand, nine hundred eighty-four".