2133681024 has 64 divisors (see below), whose sum is σ = 5676128640. Its totient is φ = 710155776.

The previous prime is 2133681001. The next prime is 2133681037. The reversal of 2133681024 is 4201863312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2133680982 and 2133681000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275347 + ... + 282989.

It is an arithmetic number, because the mean of its divisors is an integer number (88689510).

Almost surely, 2^2133681024 is an apocalyptic number.

2133681024 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 2133681024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838064320).

2133681024 is an abundant number, since it is smaller than the sum of its proper divisors (3542447616).

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

2133681024 is an equidigital number, since it uses as much as digits as its factorization.

2133681024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8387 (or 8375 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2133681024 is about 46191.7852436989. The cubic root of 2133681024 is about 1287.3891114351.

The spelling of 2133681024 in words is "two billion, one hundred thirty-three million, six hundred eighty-one thousand, twenty-four".