2384346240 has 128 divisors (see below), whose sum is σ = 8444620800. Its totient is φ = 635821056.

The previous prime is 2384346227. The next prime is 2384346277. The reversal of 2384346240 is 426434832.

2384346240 is a `hidden beast` number, since 2 + 384 + 34 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 2384346195 and 2384346204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51712 + ... + 86271.

It is an arithmetic number, because the mean of its divisors is an integer number (65973600).

Almost surely, 2^2384346240 is an apocalyptic number.

2384346240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2384346240 is an abundant number, since it is smaller than the sum of its proper divisors (6060274560).

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

2384346240 is a wasteful number, since it uses less digits than its factorization.

2384346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138011 (or 137993 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2384346240 is about 48829.7679699587. The cubic root of 2384346240 is about 1335.9486755236.

The spelling of 2384346240 in words is "two billion, three hundred eighty-four million, three hundred forty-six thousand, two hundred forty".