2034523008 has 480 divisors, whose sum is σ = 7426428240. Its totient is φ = 541458432.

The previous prime is 2034522989. The next prime is 2034523037. The reversal of 2034523008 is 8003254302.

2034523008 is a `hidden beast` number, since 203 + 452 + 3 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20974416 + ... + 20974512.

Almost surely, 2^2034523008 is an apocalyptic number.

2034523008 is a gapful number since it is divisible by the number (28) 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 2034523008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713214120).

2034523008 is an abundant number, since it is smaller than the sum of its proper divisors (5391905232).

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

2034523008 is an equidigital number, since it uses as much as digits as its factorization.

2034523008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2034523008 is about 45105.6870915409. The cubic root of 2034523008 is about 1267.1291110482.

The spelling of 2034523008 in words is "two billion, thirty-four million, five hundred twenty-three thousand, eight".