2385388607742 has 144 divisors (see below), whose sum is σ = 6368700585312. Its totient is φ = 641157672960.

The previous prime is 2385388607729. The next prime is 2385388607743. The reversal of 2385388607742 is 2477068835832.

2385388607742 is a `hidden beast` number, since 2 + 38 + 538 + 8 + 60 + 7 + 7 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2385388607742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2385388607743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34046367 + ... + 34116357.

It is an arithmetic number, because the mean of its divisors is an integer number (44227087398).

Almost surely, 2^{2385388607742} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2385388607742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184350292656).

2385388607742 is an abundant number, since it is smaller than the sum of its proper divisors (3983311977570).

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

2385388607742 is a wasteful number, since it uses less digits than its factorization.

2385388607742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72303 (or 72293 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 2385388607742 in words is "two trillion, three hundred eighty-five billion, three hundred eighty-eight million, six hundred seven thousand, seven hundred forty-two".