2401216 has 28 divisors (see below), whose sum is σ = 5047488. Its totient is φ = 1129472.

The previous prime is 2401211. The next prime is 2401219. The reversal of 2401216 is 6121042.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 2401216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16 + ... + 2191.

2^2401216 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 2401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523744).

2401216 is an abundant number, since it is smaller than the sum of its proper divisors (2646272).

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

2401216 is a wasteful number, since it uses less digits than its factorization.

2401216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2401216 is about 1549.5857510961. The cubic root of 2401216 is about 133.9091981560.

Adding to 2401216 its reverse (6121042), we get a palindrome (8522258).

The spelling of 2401216 in words is "two million, four hundred one thousand, two hundred sixteen".