2681742240 has 144 divisors (see below), whose sum is σ = 9398968488. Its totient is φ = 695789568.

The previous prime is 2681742233. The next prime is 2681742253. The reversal of 2681742240 is 422471862.

2681742240 is a `hidden beast` number, since 268 + 174 + 224 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2663798544 + 17943696 = 51612^2 + 4236^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 2681742195 and 2681742204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28114 + ... + 78446.

Almost surely, 2^2681742240 is an apocalyptic number.

2681742240 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 2681742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4699484244).

2681742240 is an abundant number, since it is smaller than the sum of its proper divisors (6717226248).

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

2681742240 is a wasteful number, since it uses less digits than its factorization.

2681742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50391 (or 50380 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2681742240 is about 51785.5408391184. The cubic root of 2681742240 is about 1389.3308443493.

The spelling of 2681742240 in words is "two billion, six hundred eighty-one million, seven hundred forty-two thousand, two hundred forty".