2682144 has 72 divisors (see below), whose sum is σ = 7796880. Its totient is φ = 874368.

The previous prime is 2682143. The next prime is 2682161. The reversal of 2682144 is 4412862.

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

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2682143) 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, 19227 + ... + 19365.

It is an arithmetic number, because the mean of its divisors is an integer number (108290).

2^2682144 is an apocalyptic number.

2682144 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 2682144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898440).

2682144 is an abundant number, since it is smaller than the sum of its proper divisors (5114736).

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

2682144 is a wasteful number, since it uses less digits than its factorization.

2682144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2682144 is about 1637.7252516830. The cubic root of 2682144 is about 138.9400220851.

The spelling of 2682144 in words is "two million, six hundred eighty-two thousand, one hundred forty-four".