2242331400240 has 160 divisors (see below), whose sum is σ = 7730068904640. Its totient is φ = 597453133824.

The previous prime is 2242331400233. The next prime is 2242331400269. The reversal of 2242331400240 is 420041332422.

2242331400240 is a `hidden beast` number, since 2 + 2 + 4 + 233 + 1 + 400 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2141794 + ... + 3011966.

It is an arithmetic number, because the mean of its divisors is an integer number (48312930654).

Almost surely, 2^{2242331400240} is an apocalyptic number.

2242331400240 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 2242331400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865034452320).

2242331400240 is an abundant number, since it is smaller than the sum of its proper divisors (5487737504400).

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

2242331400240 is a wasteful number, since it uses less digits than its factorization.

2242331400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871388 (or 871376 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2242331400240 its reverse (420041332422), we get a palindrome (2662372732662).

The spelling of 2242331400240 in words is "two trillion, two hundred forty-two billion, three hundred thirty-one million, four hundred thousand, two hundred forty".