2433663342 has 96 divisors (see below), whose sum is σ = 5878435680. Its totient is φ = 721474560.

The previous prime is 2433663341. The next prime is 2433663343.

2433663342 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2433663341) and next prime (2433663343).

Its product of digits (186624) is a multiple of the sum of its prime factors (1458).

It is a junction number, because it is equal to n+sod(n) for n = 2433663297 and 2433663306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2433663341) 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, 1979584 + ... + 1980812.

It is an arithmetic number, because the mean of its divisors is an integer number (61233705).

Almost surely, 2^2433663342 is an apocalyptic number.

2433663342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2433663342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939217840).

2433663342 is an abundant number, since it is smaller than the sum of its proper divisors (3444772338).

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

2433663342 is a wasteful number, since it uses less digits than its factorization.

2433663342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1455 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The square root of 2433663342 is about 49332.1734976273. The cubic root of 2433663342 is about 1345.0966780974.

It can be divided in two parts, 24336 and 63342, that added together give a palindrome (87678).

The spelling of 2433663342 in words is "two billion, four hundred thirty-three million, six hundred sixty-three thousand, three hundred forty-two".