2672896 has 36 divisors (see below), whose sum is σ = 5463612. Its totient is φ = 1304576.

The previous prime is 2672881. The next prime is 2672903. The reversal of 2672896 is 6982762.

It can be written as a sum of positive squares in 2 ways, for example, as 2359296 + 313600 = 1536^2 + 560^2 .

Its product of digits (72576) is a multiple of the sum of its prime divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13470 + ... + 13666.

It is an arithmetic number, because the mean of its divisors is an integer number (151767).

2^2672896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2672896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731806).

2672896 is an abundant number, since it is smaller than the sum of its proper divisors (2790716).

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

2672896 is an equidigital number, since it uses as much as digits as its factorization.

2672896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 2672896 is about 1634.8993852834. The cubic root of 2672896 is about 138.7801503615.

Adding to 2672896 its product of digits (72576), we get a palindrome (2745472).

The spelling of 2672896 in words is "two million, six hundred seventy-two thousand, eight hundred ninety-six".