2381748268032 has 1056 divisors, whose sum is σ = 8671314713600. Its totient is φ = 632423448576.

The previous prime is 2381748267991. The next prime is 2381748268033. The reversal of 2381748268032 is 2308628471832.

2381748268032 is a `hidden beast` number, since 2 + 3 + 81 + 7 + 482 + 6 + 80 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2381748268032.

It is not an unprimeable number, because it can be changed into a prime (2381748268033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5425394469 + ... + 5425394907.

Almost surely, 2^{2381748268032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2381748268032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335657356800).

2381748268032 is an abundant number, since it is smaller than the sum of its proper divisors (6289566445568).

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

2381748268032 is a wasteful number, since it uses less digits than its factorization.

2381748268032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 2381748268032 in words is "two trillion, three hundred eighty-one billion, seven hundred forty-eight million, two hundred sixty-eight thousand, thirty-two".