2852172960 has 768 divisors, whose sum is σ = 12290310144. Its totient is φ = 538509312.

The previous prime is 2852172941. The next prime is 2852172971. The reversal of 2852172960 is 692712582.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17078797 + ... + 17078963.

It is an arithmetic number, because the mean of its divisors is an integer number (16003008).

Almost surely, 2^2852172960 is an apocalyptic number.

2852172960 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 2852172960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6145155072).

2852172960 is an abundant number, since it is smaller than the sum of its proper divisors (9438137184).

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

2852172960 is a wasteful number, since it uses less digits than its factorization.

2852172960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2852172960 is about 53405.7390174502. The cubic root of 2852172960 is about 1418.1601776030.

The spelling of 2852172960 in words is "two billion, eight hundred fifty-two million, one hundred seventy-two thousand, nine hundred sixty".