2142288 has 120 divisors (see below), whose sum is σ = 6770400. Its totient is φ = 653184.

The previous prime is 2142281. The next prime is 2142293. The reversal of 2142288 is 8822412.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73858 + ... + 73886.

It is an arithmetic number, because the mean of its divisors is an integer number (56420).

2^2142288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385200).

2142288 is an abundant number, since it is smaller than the sum of its proper divisors (4628112).

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

2142288 is a wasteful number, since it uses less digits than its factorization.

2142288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 53 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 2142288 is about 1463.6556972184. The cubic root of 2142288 is about 128.9117839277.

The spelling of 2142288 in words is "two million, one hundred forty-two thousand, two hundred eighty-eight".