2253285216 has 480 divisors, whose sum is σ = 8390910528. Its totient is φ = 577290240.

The previous prime is 2253285197. The next prime is 2253285217. The reversal of 2253285216 is 6125823522.

It is a happy number.

2253285216 is a `hidden beast` number, since 22 + 532 + 85 + 21 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253285217) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9670636 + ... + 9670868.

Almost surely, 2^2253285216 is an apocalyptic number.

2253285216 is a gapful number since it is divisible by the number (26) 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 2253285216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195455264).

2253285216 is an abundant number, since it is smaller than the sum of its proper divisors (6137625312).

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

2253285216 is a wasteful number, since it uses less digits than its factorization.

2253285216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 299 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 2253285216 is about 47468.7814884688. The cubic root of 2253285216 is about 1311.0081426323.

The spelling of 2253285216 in words is "two billion, two hundred fifty-three million, two hundred eighty-five thousand, two hundred sixteen".