2619872 has 48 divisors (see below), whose sum is σ = 5644800. Its totient is φ = 1192320.

The previous prime is 2619871. The next prime is 2619913. The reversal of 2619872 is 2789162.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2619871) 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 7 ways as a sum of consecutive naturals, for example, 18779 + ... + 18917.

It is an arithmetic number, because the mean of its divisors is an integer number (117600).

2^2619872 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 2619872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822400).

2619872 is an abundant number, since it is smaller than the sum of its proper divisors (3024928).

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

2619872 is a wasteful number, since it uses less digits than its factorization.

2619872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 2619872 is about 1618.6018658089. The cubic root of 2619872 is about 137.8563231946.

The spelling of 2619872 in words is "two million, six hundred nineteen thousand, eight hundred seventy-two".