2815296 has 112 divisors (see below), whose sum is σ = 8583168. Its totient is φ = 806400.

The previous prime is 2815289. The next prime is 2815301. The reversal of 2815296 is 6925182.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (8640) is a multiple of the sum of its prime divisors (90).

It is a zygodrome in base 4.

It is a congruent number.

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, 65451 + ... + 65493.

2^2815296 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 2815296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291584).

2815296 is an abundant number, since it is smaller than the sum of its proper divisors (5767872).

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

2815296 is a wasteful number, since it uses less digits than its factorization.

2815296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 90 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 2815296 is about 1677.8843821909. The cubic root of 2815296 is about 141.2021646045.

The spelling of 2815296 in words is "two million, eight hundred fifteen thousand, two hundred ninety-six".