2034147584 has 108 divisors (see below), whose sum is σ = 4876558848. Its totient is φ = 843494400.

The previous prime is 2034147571. The next prime is 2034147601. The reversal of 2034147584 is 4857414302.

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 11 ways as a sum of consecutive naturals, for example, 386249 + ... + 391479.

Almost surely, 2^2034147584 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 2034147584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438279424).

2034147584 is an abundant number, since it is smaller than the sum of its proper divisors (2842411264).

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

2034147584 is an equidigital number, since it uses as much as digits as its factorization.

2034147584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 2034147584 is about 45101.5252957148. The cubic root of 2034147584 is about 1267.0511664979.

The spelling of 2034147584 in words is "two billion, thirty-four million, one hundred forty-seven thousand, five hundred eighty-four".