2252124 has 72 divisors (see below), whose sum is σ = 6767488. Its totient is φ = 641520.

The previous prime is 2252113. The next prime is 2252149. The reversal of 2252124 is 4212522.

2252124 = T₃₈₇ + T₃₈₈ + ... + T₄₁₄.

2252124 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-2 number, since 2×2252124² = 10144125022752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2252097 and 2252106.

It is a congruent number.

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, 6639 + ... + 6969.

2^2252124 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 2252124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383744).

2252124 is an abundant number, since it is smaller than the sum of its proper divisors (4515364).

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

2252124 is a wasteful number, since it uses less digits than its factorization.

2252124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 343 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 2252124 is about 1500.7078329908. The cubic root of 2252124 is about 131.0782897405.

Adding to 2252124 its reverse (4212522), we get a palindrome (6464646).

The spelling of 2252124 in words is "two million, two hundred fifty-two thousand, one hundred twenty-four".