2880396 has 72 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 887040.

The previous prime is 2880389. The next prime is 2880407. The reversal of 2880396 is 6930882.

It is a super-2 number, since 2×2880396² = 16593362233632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

2880396 is a modest number, since divided by 396 gives 288 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 2880396.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32320 + ... + 32408.

It is an arithmetic number, because the mean of its divisors is an integer number (109200).

2^2880396 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 2880396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2880396 is an abundant number, since it is smaller than the sum of its proper divisors (4982004).

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

2880396 is a wasteful number, since it uses less digits than its factorization.

2880396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2880396 is about 1697.1729434563. The cubic root of 2880396 is about 142.2822528518.

The spelling of 2880396 in words is "two million, eight hundred eighty thousand, three hundred ninety-six".