2384000440 has 64 divisors (see below), whose sum is σ = 5862792960. Its totient is φ = 868546560.

The previous prime is 2384000429. The next prime is 2384000449. The reversal of 2384000440 is 440004832.

2384000440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2384000449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35467 + ... + 77626.

It is an arithmetic number, because the mean of its divisors is an integer number (91606140).

Almost surely, 2^2384000440 is an apocalyptic number.

2384000440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2384000440 is an abundant number, since it is smaller than the sum of its proper divisors (3478792520).

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

2384000440 is a wasteful number, since it uses less digits than its factorization.

2384000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113152 (or 113148 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2384000440 is about 48826.2269687102. The cubic root of 2384000440 is about 1335.8840885131.

The spelling of 2384000440 in words is "two billion, three hundred eighty-four million, four hundred forty", and thus it is an aban number.