2681634912 has 192 divisors, whose sum is σ = 8004261888. Its totient is φ = 785241600.

The previous prime is 2681634911. The next prime is 2681634919. The reversal of 2681634912 is 2194361862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681634911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3960718 + ... + 3961394.

It is an arithmetic number, because the mean of its divisors is an integer number (41688864).

Almost surely, 2^2681634912 is an apocalyptic number.

2681634912 is a gapful number since it is divisible by the number (22) 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 2681634912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002130944).

2681634912 is an abundant number, since it is smaller than the sum of its proper divisors (5322626976).

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

2681634912 is a wasteful number, since it uses less digits than its factorization.

2681634912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 724 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 2681634912 is about 51784.5045549342. The cubic root of 2681634912 is about 1389.3123096211.

The spelling of 2681634912 in words is "two billion, six hundred eighty-one million, six hundred thirty-four thousand, nine hundred twelve".