2133334400 has 48 divisors (see below), whose sum is σ = 5270010540. Its totient is φ = 853332480.

The previous prime is 2133334397. The next prime is 2133334417. The reversal of 2133334400 is 44333312.

It is a super-2 number, since 2×2133334400² = 9102231324446720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 330134 + ... + 336533.

Almost surely, 2^2133334400 is an apocalyptic number.

2133334400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133334400 is an abundant number, since it is smaller than the sum of its proper divisors (3136676140).

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

2133334400 is an equidigital number, since it uses as much as digits as its factorization.

2133334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666691 (or 666674 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 2133334400 is about 46188.0330821740. The cubic root of 2133334400 is about 1287.3193940273.

Adding to 2133334400 its reverse (44333312), we get a palindrome (2177667712).

The spelling of 2133334400 in words is "two billion, one hundred thirty-three million, three hundred thirty-four thousand, four hundred".