2214133992 has 576 divisors, whose sum is σ = 8162856000. Its totient is φ = 536481792.

The previous prime is 2214133991. The next prime is 2214134051. The reversal of 2214133992 is 2993314122.

2214133992 is a `hidden beast` number, since 221 + 41 + 3 + 399 + 2 = 666.

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

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

Its product of digits (23328) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214133991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33046743 + ... + 33046809.

It is an arithmetic number, because the mean of its divisors is an integer number (14171625).

Almost surely, 2^2214133992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214133992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081428000).

2214133992 is an abundant number, since it is smaller than the sum of its proper divisors (5948722008).

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

2214133992 is a wasteful number, since it uses less digits than its factorization.

2214133992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 2214133992 is about 47054.5852388479. The cubic root of 2214133992 is about 1303.3707381434.

The spelling of 2214133992 in words is "two billion, two hundred fourteen million, one hundred thirty-three thousand, nine hundred ninety-two".