2432772342 has 96 divisors (see below), whose sum is σ = 7077208320. Its totient is φ = 583277760.

The previous prime is 2432772341. The next prime is 2432772361.

2432772342 is a `hidden beast` number, since 2 + 43 + 277 + 2 + 342 = 666.

2432772342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2432772297 and 2432772306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432772341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49492 + ... + 85527.

It is an arithmetic number, because the mean of its divisors is an integer number (73720920).

Almost surely, 2^2432772342 is an apocalyptic number.

2432772342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2432772342 is an abundant number, since it is smaller than the sum of its proper divisors (4644435978).

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

2432772342 is a wasteful number, since it uses less digits than its factorization.

2432772342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135058 (or 135055 counting only the distinct ones).

The product of its digits is 112896, while the sum is 36.

The square root of 2432772342 is about 49323.1420531985. The cubic root of 2432772342 is about 1344.9325048241.

It can be divided in two parts, 24327 and 72342, that added together give a palindrome (96669).

The spelling of 2432772342 in words is "two billion, four hundred thirty-two million, seven hundred seventy-two thousand, three hundred forty-two".