2681816000 has 112 divisors (see below), whose sum is σ = 6671413632. Its totient is φ = 1067904000.

The previous prime is 2681815993. The next prime is 2681816029. The reversal of 2681816000 is 6181862.

2681816000 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 (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2167382 + ... + 2168618.

Almost surely, 2^2681816000 is an apocalyptic number.

2681816000 is a gapful number since it is divisible by the number (20) 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 2681816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335706816).

2681816000 is an abundant number, since it is smaller than the sum of its proper divisors (3989597632).

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

2681816000 is a wasteful number, since it uses less digits than its factorization.

2681816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 2681816000 is about 51786.2530021240. The cubic root of 2681816000 is about 1389.3435818528.

Adding to 2681816000 its reverse (6181862), we get a palindrome (2687997862).

The spelling of 2681816000 in words is "two billion, six hundred eighty-one million, eight hundred sixteen thousand".