2801112022224 has 120 divisors (see below), whose sum is σ = 8131051350240. Its totient is φ = 933533278848.

The previous prime is 2801112022223. The next prime is 2801112022273. The reversal of 2801112022224 is 4222202111082.

It is a super-2 number, since 2×2801112022224² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2801112022223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22164687 + ... + 22290705.

It is an arithmetic number, because the mean of its divisors is an integer number (67758761252).

Almost surely, 2^{2801112022224} is an apocalyptic number.

2801112022224 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 2801112022224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065525675120).

2801112022224 is an abundant number, since it is smaller than the sum of its proper divisors (5329939328016).

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

2801112022224 is a wasteful number, since it uses less digits than its factorization.

2801112022224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131759 (or 131741 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 2801112022224 in words is "two trillion, eight hundred one billion, one hundred twelve million, twenty-two thousand, two hundred twenty-four".