2684161748000 has 48 divisors (see below), whose sum is σ = 6594985424664. Its totient is φ = 1073664697600.

The previous prime is 2684161747997. The next prime is 2684161748003. The reversal of 2684161748000 is 8471614862.

It is an interprime number because it is at equal distance from previous prime (2684161747997) and next prime (2684161748003).

It can be written as a sum of positive squares in 4 ways, for example, as 1646509850896 + 1037651897104 = 1283164^2 + 1018652^2 .

It is not an unprimeable number, because it can be changed into a prime (2684161748003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 335516219 + ... + 335524218.

Almost surely, 2^{2684161748000} is an apocalyptic number.

2684161748000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2684161748000 is an abundant number, since it is smaller than the sum of its proper divisors (3910823676664).

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

2684161748000 is an equidigital number, since it uses as much as digits as its factorization.

2684161748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671040462 (or 671040444 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The spelling of 2684161748000 in words is "two trillion, six hundred eighty-four billion, one hundred sixty-one million, seven hundred forty-eight thousand".