2671684416 has 84 divisors (see below), whose sum is σ = 7990892832. Its totient is φ = 851837184.

The previous prime is 2671684381. The next prime is 2671684417. The reversal of 2671684416 is 6144861762.

It is a super-2 number, since 2×2671684416² = 14275795237394522112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671684417) 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 11 ways as a sum of consecutive naturals, for example, 87586 + ... + 114081.

Almost surely, 2^2671684416 is an apocalyptic number.

It is an amenable number.

2671684416 is an abundant number, since it is smaller than the sum of its proper divisors (5319208416).

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

2671684416 is a wasteful number, since it uses less digits than its factorization.

2671684416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201708 (or 201695 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2671684416 is about 51688.3392652540. The cubic root of 2671684416 is about 1387.5917819977.

The spelling of 2671684416 in words is "two billion, six hundred seventy-one million, six hundred eighty-four thousand, four hundred sixteen".