2671681936 has 120 divisors (see below), whose sum is σ = 6554580480. Its totient is φ = 1032599040.

The previous prime is 2671681921. The next prime is 2671681951. The reversal of 2671681936 is 6391861762.

2671681936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2671681921) and next prime (2671681951).

It is a self number, because there is not a number n which added to its sum of digits gives 2671681936.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1855905 + ... + 1857343.

It is an arithmetic number, because the mean of its divisors is an integer number (54621504).

Almost surely, 2^2671681936 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 2671681936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277290240).

2671681936 is an abundant number, since it is smaller than the sum of its proper divisors (3882898544).

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

2671681936 is a wasteful number, since it uses less digits than its factorization.

2671681936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1596 counting only the distinct ones).

The product of its digits is 653184, while the sum is 49.

The square root of 2671681936 is about 51688.3152753115. The cubic root of 2671681936 is about 1387.5913526520.

The spelling of 2671681936 in words is "two billion, six hundred seventy-one million, six hundred eighty-one thousand, nine hundred thirty-six".