2044314144 has 144 divisors (see below), whose sum is σ = 5907283200. Its totient is φ = 670560768.

The previous prime is 2044314131. The next prime is 2044314157. The reversal of 2044314144 is 4414134402.

2044314144 is a `hidden beast` number, since 204 + 4 + 314 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (2044314131) and next prime (2044314157).

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 23 ways as a sum of consecutive naturals, for example, 8927022 + ... + 8927250.

It is an arithmetic number, because the mean of its divisors is an integer number (41022800).

Almost surely, 2^2044314144 is an apocalyptic number.

2044314144 is a gapful number since it is divisible by the number (24) 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 2044314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953641600).

2044314144 is an abundant number, since it is smaller than the sum of its proper divisors (3862969056).

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

2044314144 is a wasteful number, since it uses less digits than its factorization.

2044314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 596 counting only the distinct ones).

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

The square root of 2044314144 is about 45214.0923164449. The cubic root of 2044314144 is about 1269.1585440164.

Adding to 2044314144 its reverse (4414134402), we get a palindrome (6458448546).

The spelling of 2044314144 in words is "two billion, forty-four million, three hundred fourteen thousand, one hundred forty-four".