2790144 has 108 divisors (see below), whose sum is σ = 9247056. Its totient is φ = 792576.

The previous prime is 2790143. The next prime is 2790149. The reversal of 2790144 is 4410972.

It is a happy number.

2790144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2790143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16042 + ... + 16214.

2^2790144 is an apocalyptic number.

2790144 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 2790144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623528).

2790144 is an abundant number, since it is smaller than the sum of its proper divisors (6456912).

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

2790144 is a wasteful number, since it uses less digits than its factorization.

2790144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2790144 is about 1670.3724135653. The cubic root of 2790144 is about 140.7804036088.

The spelling of 2790144 in words is "two million, seven hundred ninety thousand, one hundred forty-four".