2214354240 has 896 divisors, whose sum is σ = 9831628800. Its totient is φ = 457850880.

The previous prime is 2214354223. The next prime is 2214354253. The reversal of 2214354240 is 424534122.

2214354240 is a `hidden beast` number, since 221 + 435 + 4 + 2 + 4 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 47113897 + ... + 47113943.

It is an arithmetic number, because the mean of its divisors is an integer number (10972800).

Almost surely, 2^2214354240 is an apocalyptic number.

2214354240 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 2214354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915814400).

2214354240 is an abundant number, since it is smaller than the sum of its proper divisors (7617274560).

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

2214354240 is a wasteful number, since it uses less digits than its factorization.

2214354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2214354240 is about 47056.9255264302. The cubic root of 2214354240 is about 1303.4139537274.

Adding to 2214354240 its reverse (424534122), we get a palindrome (2638888362).

The spelling of 2214354240 in words is "two billion, two hundred fourteen million, three hundred fifty-four thousand, two hundred forty".