2112433010240 has 168 divisors, whose sum is σ = 5905181529720. Its totient is φ = 717617553408.

The previous prime is 2112433010221. The next prime is 2112433010243. The reversal of 2112433010240 is 420103342112.

It can be written as a sum of positive squares in 4 ways, for example, as 871668711424 + 1240764298816 = 933632^2 + 1113896^2 .

It is not an unprimeable number, because it can be changed into a prime (2112433010243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1091132 + ... + 2327108.

Almost surely, 2^{2112433010240} is an apocalyptic number.

2112433010240 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 2112433010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952590764860).

2112433010240 is an abundant number, since it is smaller than the sum of its proper divisors (3792748519480).

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

2112433010240 is a wasteful number, since it uses less digits than its factorization.

2112433010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236117 (or 1236100 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2112433010240 its reverse (420103342112), we get a palindrome (2532536352352).

The spelling of 2112433010240 in words is "two trillion, one hundred twelve billion, four hundred thirty-three million, ten thousand, two hundred forty".