2044153440 has 576 divisors, whose sum is σ = 8604610560. Its totient is φ = 431308800.

The previous prime is 2044153439. The next prime is 2044153477. The reversal of 2044153440 is 443514402.

It is a happy number.

2044153440 is a `hidden beast` number, since 204 + 4 + 15 + 3 + 440 = 666.

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 95 ways as a sum of consecutive naturals, for example, 13537365 + ... + 13537515.

It is an arithmetic number, because the mean of its divisors is an integer number (14938560).

Almost surely, 2^2044153440 is an apocalyptic number.

2044153440 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 2044153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302305280).

2044153440 is an abundant number, since it is smaller than the sum of its proper divisors (6560457120).

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

2044153440 is a wasteful number, since it uses less digits than its factorization.

2044153440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2044153440 is about 45212.3151364758. The cubic root of 2044153440 is about 1269.1252868643.

Adding to 2044153440 its reverse (443514402), we get a palindrome (2487667842).

The spelling of 2044153440 in words is "two billion, forty-four million, one hundred fifty-three thousand, four hundred forty".