2611872 has 48 divisors (see below), whose sum is σ = 7620480. Its totient is φ = 870336.

The previous prime is 2611859. The next prime is 2611879. The reversal of 2611872 is 2781162.

2611872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2611879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 648 + ... + 2375.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

2^2611872 is an apocalyptic number.

It is an amenable number.

2611872 is an abundant number, since it is smaller than the sum of its proper divisors (5008608).

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

2611872 is a wasteful number, since it uses less digits than its factorization.

2611872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3028 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 2611872 is about 1616.1287077458. The cubic root of 2611872 is about 137.7158614923.

The spelling of 2611872 in words is "two million, six hundred eleven thousand, eight hundred seventy-two".