2224140120 has 192 divisors, whose sum is σ = 7680385440. Its totient is φ = 578534400.

The previous prime is 2224140119. The next prime is 2224140137. The reversal of 2224140120 is 210414222.

2224140120 is a `hidden beast` number, since 2 + 2 + 241 + 401 + 20 = 666.

It is a super-2 number, since 2×2224140120² = 9893598546787228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2224140093 and 2224140102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395730 + ... + 401310.

Almost surely, 2^2224140120 is an apocalyptic number.

2224140120 is a gapful number since it is divisible by the number (20) 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 2224140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840192720).

2224140120 is an abundant number, since it is smaller than the sum of its proper divisors (5456245320).

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

2224140120 is a wasteful number, since it uses less digits than its factorization.

2224140120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5648 (or 5632 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2224140120 is about 47160.7900697179. The cubic root of 2224140120 is about 1305.3311882375.

Adding to 2224140120 its reverse (210414222), we get a palindrome (2434554342).

The spelling of 2224140120 in words is "two billion, two hundred twenty-four million, one hundred forty thousand, one hundred twenty".