2231134400 has 168 divisors, whose sum is σ = 6342223536. Its totient is φ = 763494400.

The previous prime is 2231134391. The next prime is 2231134403. The reversal of 2231134400 is 44311322.

It is a super-3 number, since 3×2231134400³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2231134403) 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, 295472 + ... + 302928.

Almost surely, 2^2231134400 is an apocalyptic number.

2231134400 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 2231134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171111768).

2231134400 is an abundant number, since it is smaller than the sum of its proper divisors (4111089136).

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

2231134400 is a wasteful number, since it uses less digits than its factorization.

2231134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7507 (or 7492 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2231134400 is about 47234.8854132198. The cubic root of 2231134400 is about 1306.6980532976.

Adding to 2231134400 its reverse (44311322), we get a palindrome (2275445722).

It can be divided in two parts, 2231 and 134400, that added together give a palindrome (136631).

The spelling of 2231134400 in words is "two billion, two hundred thirty-one million, one hundred thirty-four thousand, four hundred".