2892144 has 40 divisors (see below), whose sum is σ = 7566480. Its totient is φ = 951808.

The previous prime is 2892143. The next prime is 2892151. The reversal of 2892144 is 4412982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2892143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3934 + ... + 4610.

It is an arithmetic number, because the mean of its divisors is an integer number (189162).

2^2892144 is an apocalyptic number.

2892144 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 2892144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783240).

2892144 is an abundant number, since it is smaller than the sum of its proper divisors (4674336).

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

2892144 is a wasteful number, since it uses less digits than its factorization.

2892144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 771 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 2892144 is about 1700.6304713253. The cubic root of 2892144 is about 142.4754282040.

The spelling of 2892144 in words is "two million, eight hundred ninety-two thousand, one hundred forty-four".