2221884618624 has 320 divisors, whose sum is σ = 7217570004480. Its totient is φ = 672910156800.

The previous prime is 2221884618619. The next prime is 2221884618673. The reversal of 2221884618624 is 4268164881222.

2221884618624 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 8 + 8 + 4 + 6 + 1 + 8 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 244400319 + ... + 244409409.

It is an arithmetic number, because the mean of its divisors is an integer number (22554906264).

Almost surely, 2^{2221884618624} is an apocalyptic number.

2221884618624 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 2221884618624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608785002240).

2221884618624 is an abundant number, since it is smaller than the sum of its proper divisors (4995685385856).

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

2221884618624 is a wasteful number, since it uses less digits than its factorization.

2221884618624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11271 (or 11250 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The spelling of 2221884618624 in words is "two trillion, two hundred twenty-one billion, eight hundred eighty-four million, six hundred eighteen thousand, six hundred twenty-four".