2133075840 has 512 divisors, whose sum is σ = 8225280000. Its totient is φ = 469647360.

The previous prime is 2133075829. The next prime is 2133075853. The reversal of 2133075840 is 485703312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27000921 + ... + 27000999.

It is an arithmetic number, because the mean of its divisors is an integer number (16065000).

Almost surely, 2^2133075840 is an apocalyptic number.

2133075840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112640000).

2133075840 is an abundant number, since it is smaller than the sum of its proper divisors (6092204160).

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

2133075840 is an equidigital number, since it uses as much as digits as its factorization.

2133075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 2133075840 is about 46185.2340039541. The cubic root of 2133075840 is about 1287.2673842486.

The spelling of 2133075840 in words is "two billion, one hundred thirty-three million, seventy-five thousand, eight hundred forty".