2613072 has 120 divisors (see below), whose sum is σ = 8651232. Its totient is φ = 672000.

The previous prime is 2613043. The next prime is 2613073. The reversal of 2613072 is 2703162.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2613073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25822 + ... + 25922.

2^2613072 is an apocalyptic number.

2613072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 1616×1617.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2613072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325616).

2613072 is an abundant number, since it is smaller than the sum of its proper divisors (6038160).

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

2613072 is a wasteful number, since it uses less digits than its factorization.

2613072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 2613072 is about 1616.4999226724. The cubic root of 2613072 is about 137.7369490151.

It can be divided in two parts, 261 and 3072, that added together give a palindrome (3333).

The spelling of 2613072 in words is "two million, six hundred thirteen thousand, seventy-two".