2361216 has 128 divisors (see below), whose sum is σ = 7539840. Its totient is φ = 645120.

The previous prime is 2361211. The next prime is 2361221. The reversal of 2361216 is 6121632.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2361211) and next prime (2361221).

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (432) is a multiple of the sum of its prime divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 2361192 and 2361201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2361211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54891 + ... + 54933.

It is an arithmetic number, because the mean of its divisors is an integer number (58905).

2^2361216 is an apocalyptic number.

2361216 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 2361216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769920).

2361216 is an abundant number, since it is smaller than the sum of its proper divisors (5178624).

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

2361216 is a wasteful number, since it uses less digits than its factorization.

2361216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 72 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 2361216 is about 1536.6248728951. The cubic root of 2361216 is about 133.1614674500.

Adding to 2361216 its reverse (6121632), we get a palindrome (8482848).

The spelling of 2361216 in words is "two million, three hundred sixty-one thousand, two hundred sixteen".