2288416 has 24 divisors (see below), whose sum is σ = 4852764. Its totient is φ = 1056000.

The previous prime is 2288399. The next prime is 2288441. The reversal of 2288416 is 6148822.

It can be written as a sum of positive squares in 2 ways, for example, as 2250000 + 38416 = 1500^2 + 196^2 .

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, 2335 + ... + 3166.

2^2288416 is an apocalyptic number.

2288416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2288416 is an abundant number, since it is smaller than the sum of its proper divisors (2564348).

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

2288416 is a wasteful number, since it uses less digits than its factorization.

2288416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 5516 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 2288416 is about 1512.7511361754. The cubic root of 2288416 is about 131.7786311063.

It can be divided in two parts, 2288 and 416, that added together give a square (2704 = 52²).

The spelling of 2288416 in words is "two million, two hundred eighty-eight thousand, four hundred sixteen".