2142166224 has 80 divisors (see below), whose sum is σ = 6050041344. Its totient is φ = 647740800.

The previous prime is 2142166207. The next prime is 2142166231. The reversal of 2142166224 is 4226612412.

It is a super-2 number, since 2×2142166224² = 9177752262492836352, which contains 22 as substring.

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 = 2142166191 and 2142166200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255117 + ... + 263379.

Almost surely, 2^2142166224 is an apocalyptic number.

2142166224 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 2142166224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025020672).

2142166224 is an abundant number, since it is smaller than the sum of its proper divisors (3907875120).

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

2142166224 is a wasteful number, since it uses less digits than its factorization.

2142166224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8776 (or 8770 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 2142166224 is about 46283.5416103824. The cubic root of 2142166224 is about 1289.0934126534.

Adding to 2142166224 its reverse (4226612412), we get a palindrome (6368778636).

The spelling of 2142166224 in words is "two billion, one hundred forty-two million, one hundred sixty-six thousand, two hundred twenty-four".