2234412000 has 384 divisors, whose sum is σ = 8618762880. Its totient is φ = 560332800.

The previous prime is 2234411957. The next prime is 2234412023. The reversal of 2234412000 is 2144322.

2234412000 is a `hidden beast` number, since 2 + 23 + 441 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1835392 + ... + 1836608.

It is an arithmetic number, because the mean of its divisors is an integer number (22444695).

Almost surely, 2^2234412000 is an apocalyptic number.

2234412000 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 2234412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309381440).

2234412000 is an abundant number, since it is smaller than the sum of its proper divisors (6384350880).

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

2234412000 is a wasteful number, since it uses less digits than its factorization.

2234412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2234412000 is about 47269.5673769075. The cubic root of 2234412000 is about 1307.3375991191.

Adding to 2234412000 its reverse (2144322), we get a palindrome (2236556322).

The spelling of 2234412000 in words is "two billion, two hundred thirty-four million, four hundred twelve thousand".