2400216 has 96 divisors (see below), whose sum is σ = 7565040. Its totient is φ = 628992.

The previous prime is 2400197. The next prime is 2400221. The reversal of 2400216 is 6120042.

It is a super-2 number, since 2×2400216² = 11522073693312, which contains 22 as substring.

2400216 is a modest number, since divided by 216 gives 24 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2400195 and 2400204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15210 + ... + 15366.

2^2400216 is an apocalyptic number.

2400216 is a gapful number since it is divisible by the number (26) 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 2400216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782520).

2400216 is an abundant number, since it is smaller than the sum of its proper divisors (5164824).

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

2400216 is a wasteful number, since it uses less digits than its factorization.

2400216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2400216 is about 1549.2630506147. The cubic root of 2400216 is about 133.8906064936.

Adding to 2400216 its reverse (6120042), we get a palindrome (8520258).

It can be divided in two parts, 2400 and 216, that multiplied together give a square (518400 = 720²).

The spelling of 2400216 in words is "two million, four hundred thousand, two hundred sixteen".