2044252800 has 144 divisors (see below), whose sum is σ = 7294465230. Its totient is φ = 545126400.

The previous prime is 2044252759. The next prime is 2044252823. The reversal of 2044252800 is 82524402.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1964971584 + 79281216 = 44328^2 + 8904^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6691 + ... + 64290.

Almost surely, 2^2044252800 is an apocalyptic number.

2044252800 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 2044252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647232615).

2044252800 is an abundant number, since it is smaller than the sum of its proper divisors (5250212430).

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

2044252800 is a wasteful number, since it uses less digits than its factorization.

2044252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71011 (or 70991 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2044252800 is about 45213.4139387859. The cubic root of 2044252800 is about 1269.1458492877.

The spelling of 2044252800 in words is "two billion, forty-four million, two hundred fifty-two thousand, eight hundred".