2334330400 has 36 divisors (see below), whose sum is σ = 5698686042. Its totient is φ = 933731840.

The previous prime is 2334330373. The next prime is 2334330433. The reversal of 2334330400 is 40334332.

It can be written as a sum of positive squares in 3 ways, for example, as 1925805456 + 408524944 = 43884^2 + 20212^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1458157 + ... + 1459756.

Almost surely, 2^2334330400 is an apocalyptic number.

2334330400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2334330400 is an abundant number, since it is smaller than the sum of its proper divisors (3364355642).

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

2334330400 is a wasteful number, since it uses less digits than its factorization.

2334330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917933 (or 2917920 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 2334330400 is about 48314.9086721687. The cubic root of 2334330400 is about 1326.5412988385.

Adding to 2334330400 its reverse (40334332), we get a palindrome (2374664732).

The spelling of 2334330400 in words is "two billion, three hundred thirty-four million, three hundred thirty thousand, four hundred".