2014138224 has 400 divisors, whose sum is σ = 7000266240. Its totient is φ = 547223040.

The previous prime is 2014138219. The next prime is 2014138237. The reversal of 2014138224 is 4228314102.

2014138224 is a `hidden beast` number, since 20 + 1 + 413 + 8 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28368109 + ... + 28368179.

Almost surely, 2^2014138224 is an apocalyptic number.

2014138224 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 2014138224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500133120).

2014138224 is an abundant number, since it is smaller than the sum of its proper divisors (4986128016).

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

2014138224 is a wasteful number, since it uses less digits than its factorization.

2014138224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2014138224 is about 44879.1513288743. The cubic root of 2014138224 is about 1262.8829225546.

The spelling of 2014138224 in words is "two billion, fourteen million, one hundred thirty-eight thousand, two hundred twenty-four".