2214340000 has 120 divisors (see below), whose sum is σ = 5553050580. Its totient is φ = 868608000.

The previous prime is 2214339989. The next prime is 2214340001. The reversal of 2214340000 is 434122.

It can be written as a sum of positive squares in 10 ways, for example, as 4963984 + 2209376016 = 2228^2 + 47004^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2214340001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1058956 + ... + 1061044.

Almost surely, 2^2214340000 is an apocalyptic number.

2214340000 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 2214340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776525290).

2214340000 is an abundant number, since it is smaller than the sum of its proper divisors (3338710580).

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

2214340000 is an equidigital number, since it uses as much as digits as its factorization.

2214340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2214340000 is about 47056.7742200844. The cubic root of 2214340000 is about 1303.4111597368.

Adding to 2214340000 its reverse (434122), we get a palindrome (2214774122).

The spelling of 2214340000 in words is "two billion, two hundred fourteen million, three hundred forty thousand".