2214096066 has 192 divisors, whose sum is σ = 6214440960. Its totient is φ = 579156480.

The previous prime is 2214096037. The next prime is 2214096067. The reversal of 2214096066 is 6606904122.

2214096066 is a `hidden beast` number, since 2 + 2 + 1 + 40 + 9 + 606 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2214096066.

It is not an unprimeable number, because it can be changed into a prime (2214096067) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6569850 + ... + 6570186.

It is an arithmetic number, because the mean of its divisors is an integer number (32366880).

Almost surely, 2^2214096066 is an apocalyptic number.

2214096066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214096066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107220480).

2214096066 is an abundant number, since it is smaller than the sum of its proper divisors (4000344894).

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

2214096066 is a wasteful number, since it uses less digits than its factorization.

2214096066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2214096066 is about 47054.1822370764. The cubic root of 2214096066 is about 1303.3632962691.

It can be divided in two parts, 221409 and 6066, that added together give a triangular number (227475 = T₆₇₄).

The spelling of 2214096066 in words is "two billion, two hundred fourteen million, ninety-six thousand, sixty-six".