2133744408 has 96 divisors (see below), whose sum is σ = 6040850400. Its totient is φ = 679117824.

The previous prime is 2133744407. The next prime is 2133744451. The reversal of 2133744408 is 8044473312.

2133744408 is a `hidden beast` number, since 213 + 37 + 4 + 4 + 408 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133744401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1670266 + ... + 1671542.

It is an arithmetic number, because the mean of its divisors is an integer number (62925525).

Almost surely, 2^2133744408 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 2133744408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020425200).

2133744408 is an abundant number, since it is smaller than the sum of its proper divisors (3907105992).

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

2133744408 is a wasteful number, since it uses less digits than its factorization.

2133744408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2133744408 is about 46192.4713346234. The cubic root of 2133744408 is about 1287.4018592111.

The spelling of 2133744408 in words is "two billion, one hundred thirty-three million, seven hundred forty-four thousand, four hundred eight".