2034641736 has 96 divisors (see below), whose sum is σ = 5895129240. Its totient is φ = 631701504.

The previous prime is 2034641717. The next prime is 2034641747. The reversal of 2034641736 is 6371464302.

It is a happy number.

2034641736 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 641 + 7 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1337364900 + 697276836 = 36570^2 + 26406^2 .

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 2034641736.

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, 110160 + ... + 127296.

Almost surely, 2^2034641736 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 2034641736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947564620).

2034641736 is an abundant number, since it is smaller than the sum of its proper divisors (3860487504).

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

2034641736 is a wasteful number, since it uses less digits than its factorization.

2034641736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17263 (or 17256 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2034641736 is about 45107.0031813243. The cubic root of 2034641736 is about 1267.1537590498.

The spelling of 2034641736 in words is "two billion, thirty-four million, six hundred forty-one thousand, seven hundred thirty-six".