2044385280 has 288 divisors, whose sum is σ = 8100237600. Its totient is φ = 467140608.

The previous prime is 2044385267. The next prime is 2044385333. The reversal of 2044385280 is 825834402.

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

It is a super-2 number, since 2×2044385280² = 8359022346161356800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 643536 + ... + 646704.

It is an arithmetic number, because the mean of its divisors is an integer number (28125825).

Almost surely, 2^2044385280 is an apocalyptic number.

2044385280 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 2044385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050118800).

2044385280 is an abundant number, since it is smaller than the sum of its proper divisors (6055852320).

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

2044385280 is a wasteful number, since it uses less digits than its factorization.

2044385280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2044385280 is about 45214.8789669949. The cubic root of 2044385280 is about 1269.1732648158.

The spelling of 2044385280 in words is "two billion, forty-four million, three hundred eighty-five thousand, two hundred eighty".