2671724064 has 192 divisors, whose sum is σ = 7789219200. Its totient is φ = 798400512.

The previous prime is 2671724053. The next prime is 2671724089. The reversal of 2671724064 is 4604271762.

2671724064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2803012 + ... + 2803964.

It is an arithmetic number, because the mean of its divisors is an integer number (40568850).

Almost surely, 2^2671724064 is an apocalyptic number.

2671724064 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 2671724064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894609600).

2671724064 is an abundant number, since it is smaller than the sum of its proper divisors (5117495136).

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

2671724064 is a wasteful number, since it uses less digits than its factorization.

2671724064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 2671724064 is about 51688.7227932747. The cubic root of 2671724064 is about 1387.5986459530.

The spelling of 2671724064 in words is "two billion, six hundred seventy-one million, seven hundred twenty-four thousand, sixty-four".