2133406640 has 40 divisors (see below), whose sum is σ = 5221235760. Its totient is φ = 808448256.

The previous prime is 2133406603. The next prime is 2133406673. The reversal of 2133406640 is 466043312.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 700259 + ... + 703298.

It is an arithmetic number, because the mean of its divisors is an integer number (130530894).

Almost surely, 2^2133406640 is an apocalyptic number.

2133406640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133406640 is an abundant number, since it is smaller than the sum of its proper divisors (3087829120).

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

2133406640 is a wasteful number, since it uses less digits than its factorization.

2133406640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403589 (or 1403583 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 2133406640 is about 46188.8150962979. The cubic root of 2133406640 is about 1287.3339244737. Note that the first 3 decimals are identical.

Adding to 2133406640 its reverse (466043312), we get a palindrome (2599449952).

The spelling of 2133406640 in words is "two billion, one hundred thirty-three million, four hundred six thousand, six hundred forty".