2342242422432 has 108 divisors (see below), whose sum is σ = 7321322432970. Its totient is φ = 709770420480.

The previous prime is 2342242422397. The next prime is 2342242422433.

2342242422432 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 2 + 424 + 224 + 3 + 2 = 666.

2342242422432 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 1801082097936 + 541160324496 = 1342044^2 + 735636^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2342242422433) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33571707 + ... + 33641402.

Almost surely, 2^{2342242422432} is an apocalyptic number.

2342242422432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2342242422432 is an abundant number, since it is smaller than the sum of its proper divisors (4979080010538).

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

2342242422432 is a wasteful number, since it uses less digits than its factorization.

2342242422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67213147 (or 67213125 counting only the distinct ones).

The product of its digits is 294912, while the sum is 36.

The spelling of 2342242422432 in words is "two trillion, three hundred forty-two billion, two hundred forty-two million, four hundred twenty-two thousand, four hundred thirty-two".