2034287136 has 432 divisors, whose sum is σ = 7372179360. Its totient is φ = 548674560.

The previous prime is 2034287113. The next prime is 2034287149. The reversal of 2034287136 is 6317824302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2034287136.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7239316 + ... + 7239596.

It is an arithmetic number, because the mean of its divisors is an integer number (17065230).

Almost surely, 2^2034287136 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 2034287136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686089680).

2034287136 is an abundant number, since it is smaller than the sum of its proper divisors (5337892224).

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

2034287136 is a wasteful number, since it uses less digits than its factorization.

2034287136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2034287136 is about 45103.0723565480. The cubic root of 2034287136 is about 1267.0801410395.

The spelling of 2034287136 in words is "two billion, thirty-four million, two hundred eighty-seven thousand, one hundred thirty-six".