2416288 has 72 divisors (see below), whose sum is σ = 5860512. Its totient is φ = 975744.

The previous prime is 2416283. The next prime is 2416289. The reversal of 2416288 is 8826142.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2416283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36031 + ... + 36097.

It is an arithmetic number, because the mean of its divisors is an integer number (81396).

2^2416288 is an apocalyptic number.

2416288 is a gapful number since it is divisible by the number (28) 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 2416288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930256).

2416288 is an abundant number, since it is smaller than the sum of its proper divisors (3444224).

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

2416288 is a wasteful number, since it uses less digits than its factorization.

2416288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

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

The square root of 2416288 is about 1554.4413787596. The cubic root of 2416288 is about 134.1887886228.

It can be divided in two parts, 2416 and 288, that added together give a square (2704 = 52²).

The spelling of 2416288 in words is "two million, four hundred sixteen thousand, two hundred eighty-eight".