2224204080 has 320 divisors, whose sum is σ = 8249472000. Its totient is φ = 495237120.

The previous prime is 2224204069. The next prime is 2224204091. The reversal of 2224204080 is 804024222.

It is an interprime number because it is at equal distance from previous prime (2224204069) and next prime (2224204091).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2224204080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3374791 + ... + 3375449.

It is an arithmetic number, because the mean of its divisors is an integer number (25779600).

Almost surely, 2^2224204080 is an apocalyptic number.

2224204080 is a gapful number since it is divisible by the number (20) 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 2224204080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124736000).

2224204080 is an abundant number, since it is smaller than the sum of its proper divisors (6025267920).

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

2224204080 is a wasteful number, since it uses less digits than its factorization.

2224204080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2224204080 is about 47161.4681705309. The cubic root of 2224204080 is about 1305.3437006659.

The spelling of 2224204080 in words is "two billion, two hundred twenty-four million, two hundred four thousand, eighty".