2100133240 has 64 divisors (see below), whose sum is σ = 4763603520. Its totient is φ = 833280000.

The previous prime is 2100133237. The next prime is 2100133247. The reversal of 2100133240 is 423310012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100133247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4988230 + ... + 4988650.

It is an arithmetic number, because the mean of its divisors is an integer number (74431305).

Almost surely, 2^2100133240 is an apocalyptic number.

2100133240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100133240 is an abundant number, since it is smaller than the sum of its proper divisors (2663470280).

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

2100133240 is a wasteful number, since it uses less digits than its factorization.

2100133240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2100133240 is about 45827.2106940844. The cubic root of 2100133240 is about 1280.6062476477.

Adding to 2100133240 its reverse (423310012), we get a palindrome (2523443252).

The spelling of 2100133240 in words is "two billion, one hundred million, one hundred thirty-three thousand, two hundred forty".