2214456800 has 36 divisors (see below), whose sum is σ = 5406044616. Its totient is φ = 885782400.

The previous prime is 2214456779. The next prime is 2214456857. The reversal of 2214456800 is 86544122.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1383236 + ... + 1384835.

It is an arithmetic number, because the mean of its divisors is an integer number (150167906).

Almost surely, 2^2214456800 is an apocalyptic number.

2214456800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214456800 is an abundant number, since it is smaller than the sum of its proper divisors (3191587816).

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

2214456800 is a wasteful number, since it uses less digits than its factorization.

2214456800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768091 (or 2768078 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 2214456800 is about 47058.0152577645. The cubic root of 2214456800 is about 1303.4340763842.

The spelling of 2214456800 in words is "two billion, two hundred fourteen million, four hundred fifty-six thousand, eight hundred".