2133281440 has 48 divisors (see below), whose sum is σ = 5042890440. Its totient is φ = 852802560.

The previous prime is 2133281417. The next prime is 2133281443. The reversal of 2133281440 is 441823312.

It can be written as a sum of positive squares in 4 ways, for example, as 1242139536 + 891141904 = 35244^2 + 29852^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2133281399 and 2133281408.

It is not an unprimeable number, because it can be changed into a prime (2133281443) 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, 379450 + ... + 385030.

Almost surely, 2^2133281440 is an apocalyptic number.

2133281440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133281440 is an abundant number, since it is smaller than the sum of its proper divisors (2909609000).

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

2133281440 is a wasteful number, since it uses less digits than its factorization.

2133281440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7985 (or 7977 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2133281440 is about 46187.4597699419. The cubic root of 2133281440 is about 1287.3087413765.

The spelling of 2133281440 in words is "two billion, one hundred thirty-three million, two hundred eighty-one thousand, four hundred forty".