2852972064 has 96 divisors (see below), whose sum is σ = 8369706240. Its totient is φ = 945444096.

The previous prime is 2852972029. The next prime is 2852972077. The reversal of 2852972064 is 4602792582.

2852972064 is a `hidden beast` number, since 285 + 297 + 20 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139929 + ... + 159015.

It is an arithmetic number, because the mean of its divisors is an integer number (87184440).

Almost surely, 2^2852972064 is an apocalyptic number.

2852972064 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 2852972064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184853120).

2852972064 is an abundant number, since it is smaller than the sum of its proper divisors (5516734176).

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

2852972064 is a wasteful number, since it uses less digits than its factorization.

2852972064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19279 (or 19265 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2852972064 is about 53413.2199366412. The cubic root of 2852972064 is about 1418.2926089885.

The spelling of 2852972064 in words is "two billion, eight hundred fifty-two million, nine hundred seventy-two thousand, sixty-four".