2835144 has 72 divisors (see below), whose sum is σ = 8350290. Its totient is φ = 868608.

The previous prime is 2835139. The next prime is 2835149. The reversal of 2835144 is 4415382.

It is an interprime number because it is at equal distance from previous prime (2835139) and next prime (2835149).

It can be written as a sum of positive squares in 3 ways, for example, as 980100 + 1855044 = 990^2 + 1362^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2835149) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12052 + ... + 12284.

2^2835144 is an apocalyptic number.

2835144 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 2835144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4175145).

2835144 is an abundant number, since it is smaller than the sum of its proper divisors (5515146).

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

2835144 is a wasteful number, since it uses less digits than its factorization.

2835144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2835144 is about 1683.7885853040. The cubic root of 2835144 is about 141.5332156579.

The spelling of 2835144 in words is "two million, eight hundred thirty-five thousand, one hundred forty-four".