2214408384 has 168 divisors, whose sum is σ = 6536058048. Its totient is φ = 716451840.

The previous prime is 2214408379. The next prime is 2214408403. The reversal of 2214408384 is 4838044122.

2214408384 is a `hidden beast` number, since 2 + 214 + 408 + 38 + 4 = 666.

It is a super-2 number, since 2×2214408384² = 9807208982258982912, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4250044 + ... + 4250564.

Almost surely, 2^2214408384 is an apocalyptic number.

2214408384 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 2214408384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268029024).

2214408384 is an abundant number, since it is smaller than the sum of its proper divisors (4321649664).

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

2214408384 is a wasteful number, since it uses less digits than its factorization.

2214408384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2214408384 is about 47057.5008261170. The cubic root of 2214408384 is about 1303.4245770608.

The spelling of 2214408384 in words is "two billion, two hundred fourteen million, four hundred eight thousand, three hundred eighty-four".