2240006432 has 72 divisors (see below), whose sum is σ = 4756485888. Its totient is φ = 1036421760.

The previous prime is 2240006413. The next prime is 2240006453. The reversal of 2240006432 is 2346000422.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 2240006398 and 2240006407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 705713 + ... + 708879.

It is an arithmetic number, because the mean of its divisors is an integer number (66062304).

Almost surely, 2^2240006432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240006432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378242944).

2240006432 is an abundant number, since it is smaller than the sum of its proper divisors (2516479456).

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

2240006432 is a wasteful number, since it uses less digits than its factorization.

2240006432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2240006432 is about 47328.7062151502. The cubic root of 2240006432 is about 1308.4277764253.

Adding to 2240006432 its reverse (2346000422), we get a palindrome (4586006854).

The spelling of 2240006432 in words is "two billion, two hundred forty million, six thousand, four hundred thirty-two".