2214268056 has 768 divisors, whose sum is σ = 8937600000. Its totient is φ = 502951680.

The previous prime is 2214268051. The next prime is 2214268057. The reversal of 2214268056 is 6508624122.

It is a happy number.

2214268056 is a `hidden beast` number, since 221 + 426 + 8 + 0 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2214268056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214268051) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 116540415 + ... + 116540433.

It is an arithmetic number, because the mean of its divisors is an integer number (11637500).

Almost surely, 2^2214268056 is an apocalyptic number.

2214268056 is a gapful number since it is divisible by the number (26) 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 2214268056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468800000).

2214268056 is an abundant number, since it is smaller than the sum of its proper divisors (6723331944).

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

2214268056 is a wasteful number, since it uses less digits than its factorization.

2214268056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2214268056 is about 47056.0097755855. The cubic root of 2214268056 is about 1303.3970436228.

The spelling of 2214268056 in words is "two billion, two hundred fourteen million, two hundred sixty-eight thousand, fifty-six".