2214385104 has 80 divisors (see below), whose sum is σ = 5868211712. Its totient is φ = 719155584.

The previous prime is 2214385091. The next prime is 2214385141. The reversal of 2214385104 is 4015834122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1004067 + ... + 1006269.

Almost surely, 2^2214385104 is an apocalyptic number.

2214385104 is a gapful number since it is divisible by the number (24) 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 2214385104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934105856).

2214385104 is an abundant number, since it is smaller than the sum of its proper divisors (3653826608).

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

2214385104 is a wasteful number, since it uses less digits than its factorization.

2214385104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2214385104 is about 47057.2534685143. The cubic root of 2214385104 is about 1303.4200094254.

The spelling of 2214385104 in words is "two billion, two hundred fourteen million, three hundred eighty-five thousand, one hundred four".