2153331216 has 75 divisors (see below), whose sum is σ = 6237204061. Its totient is φ = 717220224.

The previous prime is 2153331209. The next prime is 2153331241. The reversal of 2153331216 is 6121333512.

The square root of 2153331216 is 46404.

It is a perfect power (a square), and thus also a powerful number.

2153331216 is a `hidden beast` number, since 2 + 1 + 533 + 3 + 121 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1746905616 + 406425600 = 41796^2 + 20160^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2153331216.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1669900 + ... + 1671188.

Almost surely, 2^2153331216 is an apocalyptic number.

2153331216 is the 46404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153331216

2153331216 is an abundant number, since it is smaller than the sum of its proper divisors (4083872845).

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

2153331216 is an frugal number, since it uses more digits than its factorization.

2153331216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 1294 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The cubic root of 2153331216 is about 1291.3291222566.

Adding to 2153331216 its reverse (6121333512), we get a palindrome (8274664728).

The spelling of 2153331216 in words is "two billion, one hundred fifty-three million, three hundred thirty-one thousand, two hundred sixteen".