2121288 has 48 divisors (see below), whose sum is σ = 5753520. Its totient is φ = 651456.

The previous prime is 2121271. The next prime is 2121289. The reversal of 2121288 is 8821212.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (2121289) 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, 3795 + ... + 4317.

It is an arithmetic number, because the mean of its divisors is an integer number (119865).

2^2121288 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 2121288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876760).

2121288 is an abundant number, since it is smaller than the sum of its proper divisors (3632232).

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

2121288 is a wasteful number, since it uses less digits than its factorization.

2121288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 541 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 2121288 is about 1456.4642117127. The cubic root of 2121288 is about 128.4891763153.

The spelling of 2121288 in words is "two million, one hundred twenty-one thousand, two hundred eighty-eight".