2253543120 has 280 divisors, whose sum is σ = 8321393736. Its totient is φ = 565346304.

The previous prime is 2253543113. The next prime is 2253543143. The reversal of 2253543120 is 213453522.

It is a happy number.

2253543120 is a `hidden beast` number, since 2 + 2 + 535 + 4 + 3 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 921001104 + 1332542016 = 30348^2 + 36504^2 .

It is a super-3 number, since 3×2253543120³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 990304 + ... + 992576.

Almost surely, 2^2253543120 is an apocalyptic number.

2253543120 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 2253543120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160696868).

2253543120 is an abundant number, since it is smaller than the sum of its proper divisors (6067850616).

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

2253543120 is a wasteful number, since it uses less digits than its factorization.

2253543120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2253543120 is about 47471.4979751008. The cubic root of 2253543120 is about 1311.0581586922.

Adding to 2253543120 its reverse (213453522), we get a palindrome (2466996642).

The spelling of 2253543120 in words is "two billion, two hundred fifty-three million, five hundred forty-three thousand, one hundred twenty".