2234148800 has 168 divisors, whose sum is σ = 6082381536. Its totient is φ = 802344960.

The previous prime is 2234148793. The next prime is 2234148809. The reversal of 2234148800 is 88414322.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234148809) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 768149 + ... + 771051.

It is an arithmetic number, because the mean of its divisors is an integer number (36204652).

Almost surely, 2^2234148800 is an apocalyptic number.

2234148800 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 2234148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041190768).

2234148800 is an abundant number, since it is smaller than the sum of its proper divisors (3848232736).

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

2234148800 is a wasteful number, since it uses less digits than its factorization.

2234148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 2234148800 is about 47266.7832626677. The cubic root of 2234148800 is about 1307.2862649922.

The spelling of 2234148800 in words is "two billion, two hundred thirty-four million, one hundred forty-eight thousand, eight hundred".