2228632336224 has 576 divisors, whose sum is σ = 7484501606400. Its totient is φ = 628740403200.

The previous prime is 2228632336211. The next prime is 2228632336279. The reversal of 2228632336224 is 4226332368222.

It is a happy number.

2228632336224 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 632 + 3 + 3 + 6 + 2 + 2 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2228632336224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5030772547 + ... + 5030772989.

It is an arithmetic number, because the mean of its divisors is an integer number (12993926400).

Almost surely, 2^{2228632336224} is an apocalyptic number.

2228632336224 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 2228632336224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742250803200).

2228632336224 is an abundant number, since it is smaller than the sum of its proper divisors (5255869270176).

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

2228632336224 is a wasteful number, since it uses less digits than its factorization.

2228632336224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 983 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 45.

The spelling of 2228632336224 in words is "two trillion, two hundred twenty-eight billion, six hundred thirty-two million, three hundred thirty-six thousand, two hundred twenty-four".