2334405456 has 120 divisors (see below), whose sum is σ = 6933199104. Its totient is φ = 730690560.

The previous prime is 2334405433. The next prime is 2334405467. The reversal of 2334405456 is 6545044332.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2334405456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1485151 + ... + 1486721.

Almost surely, 2^2334405456 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 2334405456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466599552).

2334405456 is an abundant number, since it is smaller than the sum of its proper divisors (4598793648).

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

2334405456 is a wasteful number, since it uses less digits than its factorization.

2334405456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 2334405456 is about 48315.6854033967. The cubic root of 2334405456 is about 1326.5555161656. Note that the first 4 decimals are identical.

Adding to 2334405456 its reverse (6545044332), we get a palindrome (8879449788).

The spelling of 2334405456 in words is "two billion, three hundred thirty-four million, four hundred five thousand, four hundred fifty-six".