2142024 has 32 divisors (see below), whose sum is σ = 5400000. Its totient is φ = 708032.

The previous prime is 2142001. The next prime is 2142029. The reversal of 2142024 is 4202412.

It is a junction number, because it is equal to n+sod(n) for n = 2141994 and 2142012.

It is not an unprimeable number, because it can be changed into a prime (2142029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3277 + ... + 3875.

It is an arithmetic number, because the mean of its divisors is an integer number (168750).

2^2142024 is an apocalyptic number.

2142024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2142024 is an abundant number, since it is smaller than the sum of its proper divisors (3257976).

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

2142024 is a wasteful number, since it uses less digits than its factorization.

2142024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2142024 is about 1463.5655092957. The cubic root of 2142024 is about 128.9064883265.

Adding to 2142024 its reverse (4202412), we get a palindrome (6344436).

The spelling of 2142024 in words is "two million, one hundred forty-two thousand, twenty-four".