2126821224 has 192 divisors, whose sum is σ = 6165109440. Its totient is φ = 606228480.

The previous prime is 2126821223. The next prime is 2126821243. The reversal of 2126821224 is 4221286212.

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

It is a junction number, because it is equal to n+sod(n) for n = 2126821191 and 2126821200.

It is not an unprimeable number, because it can be changed into a prime (2126821223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13546554 + ... + 13546710.

It is an arithmetic number, because the mean of its divisors is an integer number (32109945).

Almost surely, 2^2126821224 is an apocalyptic number.

2126821224 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 2126821224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082554720).

2126821224 is an abundant number, since it is smaller than the sum of its proper divisors (4038288216).

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

2126821224 is a wasteful number, since it uses less digits than its factorization.

2126821224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 293 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 2126821224 is about 46117.4720035693. The cubic root of 2126821224 is about 1286.0079751381.

The spelling of 2126821224 in words is "two billion, one hundred twenty-six million, eight hundred twenty-one thousand, two hundred twenty-four".