2048440320 has 384 divisors, whose sum is σ = 7547904000. Its totient is φ = 526417920.

The previous prime is 2048440309. The next prime is 2048440327. The reversal of 2048440320 is 230448402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2048440320² = 8392215489203404800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048440327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8570761 + ... + 8570999.

It is an arithmetic number, because the mean of its divisors is an integer number (19656000).

Almost surely, 2^2048440320 is an apocalyptic number.

2048440320 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 2048440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773952000).

2048440320 is an abundant number, since it is smaller than the sum of its proper divisors (5499463680).

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

2048440320 is a wasteful number, since it uses less digits than its factorization.

2048440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 280 counting only the distinct ones).

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

The square root of 2048440320 is about 45259.6986291336. The cubic root of 2048440320 is about 1270.0118460465.

Adding to 2048440320 its reverse (230448402), we get a palindrome (2278888722).

The spelling of 2048440320 in words is "two billion, forty-eight million, four hundred forty thousand, three hundred twenty".