2875381706304 has 392 divisors, whose sum is σ = 8735858181792. Its totient is φ = 938390261760.

The previous prime is 2875381706291. The next prime is 2875381706389. The reversal of 2875381706304 is 4036071835782.

It is a happy number.

2875381706304 is a `hidden beast` number, since 2 + 8 + 7 + 538 + 1 + 70 + 6 + 30 + 4 = 666.

2875381706304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 437583339 + ... + 437589909.

Almost surely, 2^{2875381706304} is an apocalyptic number.

2875381706304 is a gapful number since it is divisible by the number (24) 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 2875381706304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367929090896).

2875381706304 is an abundant number, since it is smaller than the sum of its proper divisors (5860476475488).

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

2875381706304 is an equidigital number, since it uses as much as digits as its factorization.

2875381706304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6797 (or 6772 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2875381706304 in words is "two trillion, eight hundred seventy-five billion, three hundred eighty-one million, seven hundred six thousand, three hundred four".