2284140072384 has 84 divisors (see below), whose sum is σ = 6579975308400. Its totient is φ = 757553955840.

The previous prime is 2284140072371. The next prime is 2284140072421. The reversal of 2284140072384 is 4832700414822.

2284140072384 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 1 + 400 + 7 + 238 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9848997 + ... + 10078244.

Almost surely, 2^{2284140072384} is an apocalyptic number.

2284140072384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2284140072384 is an abundant number, since it is smaller than the sum of its proper divisors (4295835236016).

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

2284140072384 is a wasteful number, since it uses less digits than its factorization.

2284140072384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19927458 (or 19927445 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 2284140072384 in words is "two trillion, two hundred eighty-four billion, one hundred forty million, seventy-two thousand, three hundred eighty-four".