2613006 has 64 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 767520.

The previous prime is 2612999. The next prime is 2613011. The reversal of 2613006 is 6003162.

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 2613006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31441 + ... + 31523.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

2^2613006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2613006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2613006 is an abundant number, since it is smaller than the sum of its proper divisors (3918834).

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

2613006 is a wasteful number, since it uses less digits than its factorization.

2613006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2613006 is about 1616.4795080668. The cubic root of 2613006 is about 137.7357893692.

Adding to 2613006 its reverse (6003162), we get a palindrome (8616168).

The spelling of 2613006 in words is "two million, six hundred thirteen thousand, six".