2212054528824 has 512 divisors, whose sum is σ = 7435929600000. Its totient is φ = 608398801920.

The previous prime is 2212054528787. The next prime is 2212054528847. The reversal of 2212054528824 is 4288254502122.

2212054528824 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 0 + 545 + 2 + 88 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2212054528824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 452452972 + ... + 452457860.

It is an arithmetic number, because the mean of its divisors is an integer number (14523300000).

Almost surely, 2^{2212054528824} is an apocalyptic number.

2212054528824 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 2212054528824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717964800000).

2212054528824 is an abundant number, since it is smaller than the sum of its proper divisors (5223875071176).

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

2212054528824 is a wasteful number, since it uses less digits than its factorization.

2212054528824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 2212054528824 in words is "two trillion, two hundred twelve billion, fifty-four million, five hundred twenty-eight thousand, eight hundred twenty-four".