2034244800 has 756 divisors, whose sum is σ = 8913525480. Its totient is φ = 449971200.

The previous prime is 2034244799. The next prime is 2034244829. The reversal of 2034244800 is 84424302.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (756).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 65620785 + ... + 65620815.

Almost surely, 2^2034244800 is an apocalyptic number.

2034244800 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 2034244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4456762740).

2034244800 is an abundant number, since it is smaller than the sum of its proper divisors (6879280680).

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

2034244800 is a wasteful number, since it uses less digits than its factorization.

2034244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2034244800 is about 45102.6030290936. The cubic root of 2034244800 is about 1267.0713511500.

Multiplying 2034244800 by its sum of digits (27), we get a square (54924609600 = 234360²).

2034244800 divided by its sum of digits (27) gives a square (75342400 = 8680²).

The spelling of 2034244800 in words is "two billion, thirty-four million, two hundred forty-four thousand, eight hundred".