2874144 has 144 divisors (see below), whose sum is σ = 9652608. Its totient is φ = 741888.

The previous prime is 2874121. The next prime is 2874169. The reversal of 2874144 is 4414782.

2874144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2874144³ = 71227356207662333952, which contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61129 + ... + 61175.

It is an arithmetic number, because the mean of its divisors is an integer number (67032).

2^2874144 is an apocalyptic number.

2874144 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 2874144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826304).

2874144 is an abundant number, since it is smaller than the sum of its proper divisors (6778464).

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

2874144 is a wasteful number, since it uses less digits than its factorization.

2874144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 72 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 2874144 is about 1695.3300563607. The cubic root of 2874144 is about 142.1792354171.

The spelling of 2874144 in words is "two million, eight hundred seventy-four thousand, one hundred forty-four".