2253352320 has 384 divisors, whose sum is σ = 8265965760. Its totient is φ = 564461568.

The previous prime is 2253352289. The next prime is 2253352331. The reversal of 2253352320 is 232533522.

2253352320 is a `hidden beast` number, since 2 + 2 + 5 + 335 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9670924 + ... + 9671156.

Almost surely, 2^2253352320 is an apocalyptic number.

2253352320 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 2253352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132982880).

2253352320 is an abundant number, since it is smaller than the sum of its proper divisors (6012613440).

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

2253352320 is a wasteful number, since it uses less digits than its factorization.

2253352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 2253352320 is about 47469.4883056474. The cubic root of 2253352320 is about 1311.0211566701.

Adding to 2253352320 its reverse (232533522), we get a palindrome (2485885842).

The spelling of 2253352320 in words is "two billion, two hundred fifty-three million, three hundred fifty-two thousand, three hundred twenty".