2034400000 has 108 divisors (see below), whose sum is σ = 5077737504. Its totient is φ = 813440000.

The previous prime is 2034399953. The next prime is 2034400009. The reversal of 2034400000 is 44302.

It is not an unprimeable number, because it can be changed into a prime (2034400009) by changing a digit.

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, 798729 + ... + 801271.

It is an arithmetic number, because the mean of its divisors is an integer number (47016088).

Almost surely, 2^2034400000 is an apocalyptic number.

2034400000 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 2034400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538868752).

2034400000 is an abundant number, since it is smaller than the sum of its proper divisors (3043337504).

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

2034400000 is an frugal number, since it uses more digits than its factorization.

2034400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2034400000 is about 45104.3235178181. The cubic root of 2034400000 is about 1267.1035735048.

Adding to 2034400000 its reverse (44302), we get a palindrome (2034444302).

The spelling of 2034400000 in words is "two billion, thirty-four million, four hundred thousand".