2381965440 has 64 divisors (see below), whose sum is σ = 7592520960. Its totient is φ = 635190272.

The previous prime is 2381965429. The next prime is 2381965447. The reversal of 2381965440 is 445691832.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2381965392 and 2381965401.

It is not an unprimeable number, because it can be changed into a prime (2381965447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 618384 + ... + 622223.

It is an arithmetic number, because the mean of its divisors is an integer number (118633140).

Almost surely, 2^2381965440 is an apocalyptic number.

2381965440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2381965440 is an abundant number, since it is smaller than the sum of its proper divisors (5210555520).

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

2381965440 is a wasteful number, since it uses less digits than its factorization.

2381965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240629 (or 1240617 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 2381965440 is about 48805.3833096309. The cubic root of 2381965440 is about 1335.5038735379.

The spelling of 2381965440 in words is "two billion, three hundred eighty-one million, nine hundred sixty-five thousand, four hundred forty".