2133507072 has 88 divisors (see below), whose sum is σ = 6021225936. Its totient is φ = 669319168.

The previous prime is 2133507029. The next prime is 2133507073. The reversal of 2133507072 is 2707053312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133507073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31798 + ... + 72650.

It is an arithmetic number, because the mean of its divisors is an integer number (68423022).

Almost surely, 2^2133507072 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 2133507072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010612968).

2133507072 is an abundant number, since it is smaller than the sum of its proper divisors (3887718864).

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

2133507072 is a wasteful number, since it uses less digits than its factorization.

2133507072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40893 (or 40875 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 2133507072 is about 46189.9022731159. The cubic root of 2133507072 is about 1287.3541249502.

The spelling of 2133507072 in words is "two billion, one hundred thirty-three million, five hundred seven thousand, seventy-two".