2214014000 has 160 divisors (see below), whose sum is σ = 5886533952. Its totient is φ = 798720000.

The previous prime is 2214013979. The next prime is 2214014009. The reversal of 2214014000 is 4104122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214014009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3453680 + ... + 3454320.

Almost surely, 2^2214014000 is an apocalyptic number.

2214014000 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 2214014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943266976).

2214014000 is an abundant number, since it is smaller than the sum of its proper divisors (3672519952).

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

2214014000 is a wasteful number, since it uses less digits than its factorization.

2214014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2214014000 is about 47053.3101917389. The cubic root of 2214014000 is about 1303.3471929127.

Adding to 2214014000 its reverse (4104122), we get a palindrome (2218118122).

The spelling of 2214014000 in words is "two billion, two hundred fourteen million, fourteen thousand".