2147221824 has 224 divisors, whose sum is σ = 6430499712. Its totient is φ = 626688000.

The previous prime is 2147221757. The next prime is 2147221841. The reversal of 2147221824 is 4281227412.

It is a super-2 number, since 2×2147221824² = 9221123122923773952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 11863014 + ... + 11863194.

It is an arithmetic number, because the mean of its divisors is an integer number (28707588).

Almost surely, 2^2147221824 is an apocalyptic number.

2147221824 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 2147221824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215249856).

2147221824 is an abundant number, since it is smaller than the sum of its proper divisors (4283277888).

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

2147221824 is a wasteful number, since it uses less digits than its factorization.

2147221824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 375 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 2147221824 is about 46338.1249512753. The cubic root of 2147221824 is about 1290.1067203338.

The spelling of 2147221824 in words is "two billion, one hundred forty-seven million, two hundred twenty-one thousand, eight hundred twenty-four".