2133561444 has 96 divisors (see below), whose sum is σ = 5964220416. Its totient is φ = 580849920.

The previous prime is 2133561427. The next prime is 2133561461. The reversal of 2133561444 is 4441653312.

It is a happy number.

2133561444 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2133561427) and next prime (2133561461).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140889 + ... + 155295.

It is an arithmetic number, because the mean of its divisors is an integer number (62127296).

Almost surely, 2^2133561444 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 2133561444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982110208).

2133561444 is an abundant number, since it is smaller than the sum of its proper divisors (3830658972).

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

2133561444 is a wasteful number, since it uses less digits than its factorization.

2133561444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14505 (or 14503 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 2133561444 is about 46190.4908395657. The cubic root of 2133561444 is about 1287.3650608446.

The spelling of 2133561444 in words is "two billion, one hundred thirty-three million, five hundred sixty-one thousand, four hundred forty-four".