2133641664 has 336 divisors, whose sum is σ = 7740944640. Its totient is φ = 545771520.

The previous prime is 2133641663. The next prime is 2133641677. The reversal of 2133641664 is 4661463312.

2133641664 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 641 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (62208) is a multiple of the sum of its prime factors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133641663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3237367 + ... + 3238025.

Almost surely, 2^2133641664 is an apocalyptic number.

2133641664 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 2133641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870472320).

2133641664 is an abundant number, since it is smaller than the sum of its proper divisors (5607302976).

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

2133641664 is a wasteful number, since it uses less digits than its factorization.

2133641664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 755 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 2133641664 is about 46191.3591919528. The cubic root of 2133641664 is about 1287.3811952336.

The spelling of 2133641664 in words is "two billion, one hundred thirty-three million, six hundred forty-one thousand, six hundred sixty-four".