2872960 has 48 divisors (see below), whose sum is σ = 6972210. Its totient is φ = 1132032.

The previous prime is 2872937. The next prime is 2872967. The reversal of 2872960 is 692782.

It can be written as a sum of positive squares in only one way, i.e., 2585664 + 287296 = 1608^2 + 536^2 .

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (2872967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42847 + ... + 42913.

2^2872960 is an apocalyptic number.

2872960 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 2872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486105).

2872960 is an abundant number, since it is smaller than the sum of its proper divisors (4099250).

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

2872960 is an frugal number, since it uses more digits than its factorization.

2872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 2872960 is about 1694.9808258503. The cubic root of 2872960 is about 142.1597092166.

The spelling of 2872960 in words is "two million, eight hundred seventy-two thousand, nine hundred sixty".