2612016 has 120 divisors (see below), whose sum is σ = 8530704. Its totient is φ = 737280.

The previous prime is 2612003. The next prime is 2612017. The reversal of 2612016 is 6102162.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2612016.

It is not an unprimeable number, because it can be changed into a prime (2612017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26880 + ... + 26976.

2^2612016 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 2612016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265352).

2612016 is an abundant number, since it is smaller than the sum of its proper divisors (5918688).

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

2612016 is a wasteful number, since it uses less digits than its factorization.

2612016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2612016 is about 1616.1732580389. The cubic root of 2612016 is about 137.7183923360.

Adding to 2612016 its reverse (6102162), we get a palindrome (8714178).

The spelling of 2612016 in words is "two million, six hundred twelve thousand, sixteen".