2224105331672 has 64 divisors (see below), whose sum is σ = 4870915008000. Its totient is φ = 951676659360.

The previous prime is 2224105331639. The next prime is 2224105331677. The reversal of 2224105331672 is 2761335014222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224105331677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1089203 + ... + 2373725.

It is an arithmetic number, because the mean of its divisors is an integer number (76108047000).

Almost surely, 2^{2224105331672} 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 2224105331672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435457504000).

2224105331672 is an abundant number, since it is smaller than the sum of its proper divisors (2646809676328).

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

2224105331672 is a wasteful number, since it uses less digits than its factorization.

2224105331672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285181 (or 1285163 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 2224105331672 in words is "two trillion, two hundred twenty-four billion, one hundred five million, three hundred thirty-one thousand, six hundred seventy-two".