2681337720 has 64 divisors (see below), whose sum is σ = 8157335040. Its totient is φ = 704950400.

The previous prime is 2681337707. The next prime is 2681337727. The reversal of 2681337720 is 277331862.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681337727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148836 + ... + 165875.

It is an arithmetic number, because the mean of its divisors is an integer number (127458360).

Almost surely, 2^2681337720 is an apocalyptic number.

2681337720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2681337720 is an abundant number, since it is smaller than the sum of its proper divisors (5475997320).

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

2681337720 is a wasteful number, since it uses less digits than its factorization.

2681337720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314796 (or 314792 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 2681337720 is about 51781.6349683940. The cubic root of 2681337720 is about 1389.2609842455.

The spelling of 2681337720 in words is "two billion, six hundred eighty-one million, three hundred thirty-seven thousand, seven hundred twenty".