2724056064 has 132 divisors (see below), whose sum is σ = 8328817224. Its totient is φ = 854556672.

The previous prime is 2724056059. The next prime is 2724056089. The reversal of 2724056064 is 4606504272.

2724056064 is a `hidden beast` number, since 2 + 7 + 2 + 40 + 5 + 606 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147979 + ... + 165365.

Almost surely, 2^2724056064 is an apocalyptic number.

2724056064 is a gapful number since it is divisible by the number (24) 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 2724056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164408612).

2724056064 is an abundant number, since it is smaller than the sum of its proper divisors (5604761160).

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

2724056064 is a wasteful number, since it uses less digits than its factorization.

2724056064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17430 (or 17409 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2724056064 is about 52192.4904943230. The cubic root of 2724056064 is about 1396.5999233192.

The spelling of 2724056064 in words is "two billion, seven hundred twenty-four million, fifty-six thousand, sixty-four".