2034413568 has 312 divisors, whose sum is σ = 6670095120. Its totient is φ = 591790080.

The previous prime is 2034413489. The next prime is 2034413569. The reversal of 2034413568 is 8653144302.

2034413568 is a `hidden beast` number, since 20 + 34 + 41 + 3 + 568 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2034413569) 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, 11759530 + ... + 11759702.

It is an arithmetic number, because the mean of its divisors is an integer number (21378510).

Almost surely, 2^2034413568 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 2034413568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335047560).

2034413568 is an abundant number, since it is smaller than the sum of its proper divisors (4635681552).

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

2034413568 is a wasteful number, since it uses less digits than its factorization.

2034413568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2034413568 is about 45104.4739244346. The cubic root of 2034413568 is about 1267.1063903915.

The spelling of 2034413568 in words is "two billion, thirty-four million, four hundred thirteen thousand, five hundred sixty-eight".