2279616 has 56 divisors (see below), whose sum is σ = 6242304. Its totient is φ = 733440.

The previous prime is 2279611. The next prime is 2279617. The reversal of 2279616 is 6169722.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2279611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5761 + ... + 6143.

2^2279616 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 2279616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121152).

2279616 is an abundant number, since it is smaller than the sum of its proper divisors (3962688).

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

2279616 is a wasteful number, since it uses less digits than its factorization.

2279616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 2279616 is about 1509.8397265935. The cubic root of 2279616 is about 131.6094978717.

The spelling of 2279616 in words is "two million, two hundred seventy-nine thousand, six hundred sixteen".