2231040000 has 480 divisors, whose sum is σ = 8596748160. Its totient is φ = 503808000.

The previous prime is 2231039981. The next prime is 2231040107. The reversal of 2231040000 is 401322.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×2231040000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 39 ways as a sum of consecutive naturals, for example, 26879959 + ... + 26880041.

It is an arithmetic number, because the mean of its divisors is an integer number (17909892).

Almost surely, 2^2231040000 is an apocalyptic number.

2231040000 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 2231040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298374080).

2231040000 is an abundant number, since it is smaller than the sum of its proper divisors (6365708160).

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

2231040000 is an frugal number, since it uses more digits than its factorization.

2231040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2231040000 is about 47233.8861412016. The cubic root of 2231040000 is about 1306.6796241022.

Adding to 2231040000 its reverse (401322), we get a palindrome (2231441322).

The spelling of 2231040000 in words is "two billion, two hundred thirty-one million, forty thousand".