2034459504 has 800 divisors, whose sum is σ = 8210188800. Its totient is φ = 470292480.

The previous prime is 2034459491. The next prime is 2034459509. The reversal of 2034459504 is 4059544302.

It is a happy number.

2034459504 is a `hidden beast` number, since 20 + 3 + 44 + 595 + 0 + 4 = 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 (2034459509) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 54985374 + ... + 54985410.

It is an arithmetic number, because the mean of its divisors is an integer number (10262736).

Almost surely, 2^2034459504 is an apocalyptic number.

2034459504 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 2034459504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105094400).

2034459504 is an abundant number, since it is smaller than the sum of its proper divisors (6175729296).

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

2034459504 is a wasteful number, since it uses less digits than its factorization.

2034459504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2034459504 is about 45104.9831393384. The cubic root of 2034459504 is about 1267.1159271874.

The spelling of 2034459504 in words is "two billion, thirty-four million, four hundred fifty-nine thousand, five hundred four".