2133009984 has 168 divisors, whose sum is σ = 6594091968. Its totient is φ = 608509440.

The previous prime is 2133009961. The next prime is 2133010021. The reversal of 2133009984 is 4899003312.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3226614 + ... + 3227274.

Almost surely, 2^2133009984 is an apocalyptic number.

2133009984 is a gapful number since it is divisible by the number (24) 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 2133009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297045984).

2133009984 is an abundant number, since it is smaller than the sum of its proper divisors (4461081984).

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

2133009984 is an frugal number, since it uses more digits than its factorization.

2133009984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 2133009984 is about 46184.5210433106. The cubic root of 2133009984 is about 1287.2541365319.

The spelling of 2133009984 in words is "two billion, one hundred thirty-three million, nine thousand, nine hundred eighty-four".