2224471680 has 512 divisors, whose sum is σ = 8548416000. Its totient is φ = 544997376.

The previous prime is 2224471661. The next prime is 2224471699. The reversal of 2224471680 is 861744222.

It is an interprime number because it is at equal distance from previous prime (2224471661) and next prime (2224471699).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11525664 + ... + 11525856.

It is an arithmetic number, because the mean of its divisors is an integer number (16696125).

Almost surely, 2^2224471680 is an apocalyptic number.

2224471680 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 2224471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274208000).

2224471680 is an abundant number, since it is smaller than the sum of its proper divisors (6323944320).

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

2224471680 is a wasteful number, since it uses less digits than its factorization.

2224471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2224471680 is about 47164.3051470071. The cubic root of 2224471680 is about 1305.3960483753.

The spelling of 2224471680 in words is "two billion, two hundred twenty-four million, four hundred seventy-one thousand, six hundred eighty".