2802144 has 72 divisors (see below), whose sum is σ = 7891128. Its totient is φ = 870400.

The previous prime is 2802143. The next prime is 2802169. The reversal of 2802144 is 4412082.

2802144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2802144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2802143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27694 + ... + 27794.

It is an arithmetic number, because the mean of its divisors is an integer number (109599).

2^2802144 is an apocalyptic number.

2802144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2802144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945564).

2802144 is an abundant number, since it is smaller than the sum of its proper divisors (5088984).

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

2802144 is a wasteful number, since it uses less digits than its factorization.

2802144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2802144 is about 1673.9605730124. The cubic root of 2802144 is about 140.9819402452.

The spelling of 2802144 in words is "two million, eight hundred two thousand, one hundred forty-four".