2034464600 has 96 divisors (see below), whose sum is σ = 5415293280. Its totient is φ = 696314880.

The previous prime is 2034464599. The next prime is 2034464629. The reversal of 2034464600 is 64644302.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1226972 + ... + 1228628.

It is an arithmetic number, because the mean of its divisors is an integer number (56409305).

Almost surely, 2^2034464600 is an apocalyptic number.

2034464600 is a gapful number since it is divisible by the number (20) 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 2034464600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707646640).

2034464600 is an abundant number, since it is smaller than the sum of its proper divisors (3380828680).

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

2034464600 is a wasteful number, since it uses less digits than its factorization.

2034464600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 2034464600 is about 45105.0396297354. The cubic root of 2034464600 is about 1267.1169851617.

The spelling of 2034464600 in words is "two billion, thirty-four million, four hundred sixty-four thousand, six hundred".