2382481440 has 432 divisors, whose sum is σ = 9004020480. Its totient is φ = 571484160.

The previous prime is 2382481429. The next prime is 2382481463. The reversal of 2382481440 is 441842832.

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 = 2382481395 and 2382481404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44952454 + ... + 44952506.

It is an arithmetic number, because the mean of its divisors is an integer number (20842640).

Almost surely, 2^2382481440 is an apocalyptic number.

2382481440 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 2382481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4502010240).

2382481440 is an abundant number, since it is smaller than the sum of its proper divisors (6621539040).

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

2382481440 is a wasteful number, since it uses less digits than its factorization.

2382481440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2382481440 is about 48810.6693254661. The cubic root of 2382481440 is about 1335.6003023431.

The spelling of 2382481440 in words is "two billion, three hundred eighty-two million, four hundred eighty-one thousand, four hundred forty".