2252120 has 64 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 806400.

The previous prime is 2252113. The next prime is 2252149. The reversal of 2252120 is 212522.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2252095 and 2252104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31685 + ... + 31755.

It is an arithmetic number, because the mean of its divisors is an integer number (87885).

2^2252120 is an apocalyptic number.

2252120 is a gapful number since it is divisible by the number (20) 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 2252120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2252120 is an abundant number, since it is smaller than the sum of its proper divisors (3372520).

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

2252120 is a wasteful number, since it uses less digits than its factorization.

2252120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2252120 is about 1500.7065002858. The cubic root of 2252120 is about 131.0782121377.

Adding to 2252120 its reverse (212522), we get a palindrome (2464642).

The spelling of 2252120 in words is "two million, two hundred fifty-two thousand, one hundred twenty".