2822100148224 has 1344 divisors, whose sum is σ = 10529131291200. Its totient is φ = 744565506048.

The previous prime is 2822100148169. The next prime is 2822100148247. The reversal of 2822100148224 is 4228410012282.

2822100148224 is a `hidden beast` number, since 2 + 82 + 210 + 0 + 148 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 53247172582 + ... + 53247172634.

Almost surely, 2^{2822100148224} is an apocalyptic number.

2822100148224 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 2822100148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264565645600).

2822100148224 is an abundant number, since it is smaller than the sum of its proper divisors (7707031142976).

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

2822100148224 is an frugal number, since it uses more digits than its factorization.

2822100148224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 2822100148224 in words is "two trillion, eight hundred twenty-two billion, one hundred million, one hundred forty-eight thousand, two hundred twenty-four".