2681807040 has 168 divisors, whose sum is σ = 10062990288. Its totient is φ = 650127360.

The previous prime is 2681807017. The next prime is 2681807047. The reversal of 2681807040 is 407081862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2681806986 and 2681807004.

It is not an unprimeable number, because it can be changed into a prime (2681807047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10647 + ... + 74006.

Almost surely, 2^2681807040 is an apocalyptic number.

2681807040 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 2681807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031495144).

2681807040 is an abundant number, since it is smaller than the sum of its proper divisors (7381183248).

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

2681807040 is a wasteful number, since it uses less digits than its factorization.

2681807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84687 (or 84674 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2681807040 is about 51786.1664926069. The cubic root of 2681807040 is about 1389.3420345763.

The spelling of 2681807040 in words is "two billion, six hundred eighty-one million, eight hundred seven thousand, forty".