2384742488128 has 224 divisors, whose sum is σ = 6443256250368. Its totient is φ = 845568460800.

The previous prime is 2384742488041. The next prime is 2384742488129. The reversal of 2384742488128 is 8218842474832.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2384742488129) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4286401 + ... + 4810687.

It is an arithmetic number, because the mean of its divisors is an integer number (28764536832).

Almost surely, 2^{2384742488128} is an apocalyptic number.

2384742488128 is a gapful number since it is divisible by the number (28) 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 2384742488128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221628125184).

2384742488128 is an abundant number, since it is smaller than the sum of its proper divisors (4058513762240).

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

2384742488128 is a wasteful number, since it uses less digits than its factorization.

2384742488128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524401 (or 524391 counting only the distinct ones).

The product of its digits is 44040192, while the sum is 61.

The spelling of 2384742488128 in words is "two trillion, three hundred eighty-four billion, seven hundred forty-two million, four hundred eighty-eight thousand, one hundred twenty-eight".