2252304 has 30 divisors (see below), whose sum is σ = 6303726. Its totient is φ = 750720.

The previous prime is 2252273. The next prime is 2252309. The reversal of 2252304 is 4032522.

It can be written as a sum of positive squares in only one way, i.e., 2250000 + 2304 = 1500^2 + 48^2 .

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

It is a d-powerful number, because it can be written as 2¹³ + 2¹⁵ + 5⁷ + 2²¹ + 3⁹ + 0 + 4⁷ .

It is not an unprimeable number, because it can be changed into a prime (2252309) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7677 + ... + 7964.

2^2252304 is an apocalyptic number.

2252304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2252304 is an abundant number, since it is smaller than the sum of its proper divisors (4051422).

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

2252304 is a wasteful number, since it uses less digits than its factorization.

2252304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15655 (or 15646 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2252304 is about 1500.7678034926. The cubic root of 2252304 is about 131.0817817720.

Adding to 2252304 its reverse (4032522), we get a palindrome (6284826).

It can be divided in two parts, 2252 and 304, that added together give a triangular number (2556 = T₇₁).

The spelling of 2252304 in words is "two million, two hundred fifty-two thousand, three hundred four".