2230124400 has 300 divisors, whose sum is σ = 9148058832. Its totient is φ = 509690880.

The previous prime is 2230124387. The next prime is 2230124419. The reversal of 2230124400 is 44210322.

2230124400 is a `hidden beast` number, since 223 + 0 + 1 + 2 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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 59 ways as a sum of consecutive naturals, for example, 221884 + ... + 231716.

Almost surely, 2^2230124400 is an apocalyptic number.

2230124400 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 2230124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574029416).

2230124400 is an abundant number, since it is smaller than the sum of its proper divisors (6917934432).

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

2230124400 is a wasteful number, since it uses less digits than its factorization.

2230124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9870 (or 9850 counting only the distinct ones).

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

The square root of 2230124400 is about 47224.1929523417. The cubic root of 2230124400 is about 1306.5008495449.

Adding to 2230124400 its reverse (44210322), we get a palindrome (2274334722).

The spelling of 2230124400 in words is "two billion, two hundred thirty million, one hundred twenty-four thousand, four hundred".