2231330400 has 432 divisors, whose sum is σ = 8758189440. Its totient is φ = 530841600.

The previous prime is 2231330357. The next prime is 2231330411. The reversal of 2231330400 is 40331322.

2231330400 is a `hidden beast` number, since 2 + 231 + 3 + 30 + 400 = 666.

2231330400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231330400³ (a number of 29 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 2901216 + ... + 2901984.

Almost surely, 2^2231330400 is an apocalyptic number.

2231330400 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 2231330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379094720).

2231330400 is an abundant number, since it is smaller than the sum of its proper divisors (6526859040).

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

2231330400 is a wasteful number, since it uses less digits than its factorization.

2231330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2231330400 is about 47236.9601054090. The cubic root of 2231330400 is about 1306.7363156451.

Adding to 2231330400 its reverse (40331322), we get a palindrome (2271661722).

The spelling of 2231330400 in words is "two billion, two hundred thirty-one million, three hundred thirty thousand, four hundred".