2219468832 has 144 divisors (see below), whose sum is σ = 7462203840. Its totient is φ = 612251136.

The previous prime is 2219468809. The next prime is 2219468837. The reversal of 2219468832 is 2388649122.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2219468837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39483 + ... + 77445.

It is an arithmetic number, because the mean of its divisors is an integer number (51820860).

Almost surely, 2^2219468832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2219468832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731101920).

2219468832 is an abundant number, since it is smaller than the sum of its proper divisors (5242735008).

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

2219468832 is a wasteful number, since it uses less digits than its factorization.

2219468832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38015 (or 38004 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2219468832 is about 47111.2389138728. The cubic root of 2219468832 is about 1304.4166997278.

The spelling of 2219468832 in words is "two billion, two hundred nineteen million, four hundred sixty-eight thousand, eight hundred thirty-two".