2380447440 has 700 divisors, whose sum is σ = 10249878564. Its totient is φ = 512096256.

The previous prime is 2380447439. The next prime is 2380447441. The reversal of 2380447440 is 447440832.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2380447439) and next prime (2380447441).

It can be written as a sum of positive squares in 2 ways, for example, as 1372257936 + 1008189504 = 37044^2 + 31752^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2380447395 and 2380447404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2380447441) by changing a digit.

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 139 ways as a sum of consecutive naturals, for example, 140026312 + ... + 140026328.

Almost surely, 2^2380447440 is an apocalyptic number.

2380447440 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 2380447440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5124939282).

2380447440 is an abundant number, since it is smaller than the sum of its proper divisors (7869431124).

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

2380447440 is an frugal number, since it uses more digits than its factorization.

2380447440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 2380447440 is about 48789.8292679940. The cubic root of 2380447440 is about 1335.2201126773.

The spelling of 2380447440 in words is "two billion, three hundred eighty million, four hundred forty-seven thousand, four hundred forty".