2382807040 has 240 divisors, whose sum is σ = 6369904800. Its totient is φ = 851443712.

The previous prime is 2382807001. The next prime is 2382807137. The reversal of 2382807040 is 407082832.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 2382806987 and 2382807005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40386531 + ... + 40386589.

It is an arithmetic number, because the mean of its divisors is an integer number (26541270).

Almost surely, 2^2382807040 is an apocalyptic number.

2382807040 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 2382807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184952400).

2382807040 is an abundant number, since it is smaller than the sum of its proper divisors (3987097760).

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

2382807040 is an equidigital number, since it uses as much as digits as its factorization.

2382807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 2382807040 is about 48814.0045478754. The cubic root of 2382807040 is about 1335.6611425022.

Adding to 2382807040 its reverse (407082832), we get a palindrome (2789889872).

The spelling of 2382807040 in words is "two billion, three hundred eighty-two million, eight hundred seven thousand, forty".