2234047200 has 648 divisors, whose sum is σ = 9357197976. Its totient is φ = 461260800.

The previous prime is 2234047183. The next prime is 2234047217. The reversal of 2234047200 is 27404322.

It is an interprime number because it is at equal distance from previous prime (2234047183) and next prime (2234047217).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14229522 + ... + 14229678.

Almost surely, 2^2234047200 is an apocalyptic number.

2234047200 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 2234047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678598988).

2234047200 is an abundant number, since it is smaller than the sum of its proper divisors (7123150776).

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

2234047200 is a wasteful number, since it uses less digits than its factorization.

2234047200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 2234047200 is about 47265.7084999262. The cubic root of 2234047200 is about 1307.2664480045.

The spelling of 2234047200 in words is "two billion, two hundred thirty-four million, forty-seven thousand, two hundred".