2044159200 has 288 divisors, whose sum is σ = 7474209120. Its totient is φ = 539136000.

The previous prime is 2044159199. The next prime is 2044159211. The reversal of 2044159200 is 29514402.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 2181132 + ... + 2182068.

It is an arithmetic number, because the mean of its divisors is an integer number (25952115).

Almost surely, 2^2044159200 is an apocalyptic number.

2044159200 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 2044159200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3737104560).

2044159200 is an abundant number, since it is smaller than the sum of its proper divisors (5430049920).

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

2044159200 is a wasteful number, since it uses less digits than its factorization.

2044159200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2044159200 is about 45212.3788358896. The cubic root of 2044159200 is about 1269.1264789071.

The spelling of 2044159200 in words is "two billion, forty-four million, one hundred fifty-nine thousand, two hundred".