2681204736 has 312 divisors, whose sum is σ = 8568310224. Its totient is φ = 743178240.

The previous prime is 2681204731. The next prime is 2681204753. The reversal of 2681204736 is 6374021862.

It is a happy number.

2681204736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2681204694 and 2681204703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681204731) 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, 36728796 + ... + 36728868.

Almost surely, 2^2681204736 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 2681204736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284155112).

2681204736 is an abundant number, since it is smaller than the sum of its proper divisors (5887105488).

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

2681204736 is an equidigital number, since it uses as much as digits as its factorization.

2681204736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2681204736 is about 51780.3508678727. The cubic root of 2681204736 is about 1389.2380165385.

The spelling of 2681204736 in words is "two billion, six hundred eighty-one million, two hundred four thousand, seven hundred thirty-six".