2214889600 has 384 divisors, whose sum is σ = 6966518400. Its totient is φ = 675840000.

The previous prime is 2214889513. The next prime is 2214889601. The reversal of 2214889600 is 69884122.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2214889601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21929550 + ... + 21929650.

It is an arithmetic number, because the mean of its divisors is an integer number (18141975).

Almost surely, 2^2214889600 is an apocalyptic number.

2214889600 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 2214889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483259200).

2214889600 is an abundant number, since it is smaller than the sum of its proper divisors (4751628800).

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

2214889600 is a wasteful number, since it uses less digits than its factorization.

2214889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 2214889600 is about 47062.6136120807. The cubic root of 2214889600 is about 1303.5189865257.

The spelling of 2214889600 in words is "two billion, two hundred fourteen million, eight hundred eighty-nine thousand, six hundred".