2852734960 has 80 divisors (see below), whose sum is σ = 6799564800. Its totient is φ = 1112686848.

The previous prime is 2852734957. The next prime is 2852734961. The reversal of 2852734960 is 694372582.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2852734960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2852734961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597061 + ... + 601819.

It is an arithmetic number, because the mean of its divisors is an integer number (84994560).

Almost surely, 2^2852734960 is an apocalyptic number.

2852734960 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 2852734960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399782400).

2852734960 is an abundant number, since it is smaller than the sum of its proper divisors (3946829840).

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

2852734960 is a wasteful number, since it uses less digits than its factorization.

2852734960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4958 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 2852734960 is about 53411.0003650933. Note that the first 3 decimals coincide. The cubic root of 2852734960 is about 1418.2533175456.

The spelling of 2852734960 in words is "two billion, eight hundred fifty-two million, seven hundred thirty-four thousand, nine hundred sixty".