2723640084 has 72 divisors (see below), whose sum is σ = 7524080928. Its totient is φ = 823869120.

The previous prime is 2723640077. The next prime is 2723640097. The reversal of 2723640084 is 4800463272.

2723640084 is a `hidden beast` number, since 2 + 7 + 2 + 3 + 640 + 0 + 8 + 4 = 666.

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

It is a congruent number.

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, 226594 + ... + 238310.

It is an arithmetic number, because the mean of its divisors is an integer number (104501124).

Almost surely, 2^2723640084 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 2723640084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762040464).

2723640084 is an abundant number, since it is smaller than the sum of its proper divisors (4800440844).

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

2723640084 is a wasteful number, since it uses less digits than its factorization.

2723640084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12325 (or 12320 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2723640084 is about 52188.5052861260. The cubic root of 2723640084 is about 1396.5288299206.

The spelling of 2723640084 in words is "two billion, seven hundred twenty-three million, six hundred forty thousand, eighty-four".