2681726400 has 336 divisors, whose sum is σ = 10204704000. Its totient is φ = 683781120.

The previous prime is 2681726371. The next prime is 2681726407. The reversal of 2681726400 is 46271862.

2681726400 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 7 + 2 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681726407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 992251 + ... + 994949.

Almost surely, 2^2681726400 is an apocalyptic number.

2681726400 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 2681726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102352000).

2681726400 is an abundant number, since it is smaller than the sum of its proper divisors (7522977600).

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

2681726400 is a wasteful number, since it uses less digits than its factorization.

2681726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2681726400 is about 51785.3879004493. The cubic root of 2681726400 is about 1389.3281089330.

The spelling of 2681726400 in words is "two billion, six hundred eighty-one million, seven hundred twenty-six thousand, four hundred".