2214034000 has 160 divisors (see below), whose sum is σ = 5640710400. Its totient is φ = 839283200.

The previous prime is 2214033953. The next prime is 2214034019. The reversal of 2214034000 is 4304122.

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

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 31 ways as a sum of consecutive naturals, for example, 3421677 + ... + 3422323.

It is an arithmetic number, because the mean of its divisors is an integer number (35254440).

Almost surely, 2^2214034000 is an apocalyptic number.

2214034000 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 2214034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820355200).

2214034000 is an abundant number, since it is smaller than the sum of its proper divisors (3426676400).

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

2214034000 is a wasteful number, since it uses less digits than its factorization.

2214034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 742 counting only the distinct ones).

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

The square root of 2214034000 is about 47053.5227161580. The cubic root of 2214034000 is about 1303.3511174386.

Adding to 2214034000 its reverse (4304122), we get a palindrome (2218338122).

The spelling of 2214034000 in words is "two billion, two hundred fourteen million, thirty-four thousand".