2221478784 has 448 divisors, whose sum is σ = 8026992000. Its totient is φ = 597943296.

The previous prime is 2221478767. The next prime is 2221478807. The reversal of 2221478784 is 4878741222.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12410407 + ... + 12410585.

Almost surely, 2^2221478784 is an apocalyptic number.

2221478784 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 2221478784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013496000).

2221478784 is an abundant number, since it is smaller than the sum of its proper divisors (5805513216).

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

2221478784 is an equidigital number, since it uses as much as digits as its factorization.

2221478784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 210 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The square root of 2221478784 is about 47132.5660663622. The cubic root of 2221478784 is about 1304.8103410465.

The spelling of 2221478784 in words is "two billion, two hundred twenty-one million, four hundred seventy-eight thousand, seven hundred eighty-four".