2153215648 has 48 divisors (see below), whose sum is σ = 4529808360. Its totient is φ = 1003954176.

The previous prime is 2153215643. The next prime is 2153215657. The reversal of 2153215648 is 8465123512.

It can be written as a sum of positive squares in 4 ways, for example, as 1895035024 + 258180624 = 43532^2 + 16068^2 .

It is a super-3 number, since 3×2153215648³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2153215643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 41140 + ... + 77452.

Almost surely, 2^2153215648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153215648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264904180).

2153215648 is an abundant number, since it is smaller than the sum of its proper divisors (2376592712).

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

2153215648 is a wasteful number, since it uses less digits than its factorization.

2153215648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36449 (or 36441 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The square root of 2153215648 is about 46402.7547458122. The cubic root of 2153215648 is about 1291.3060202225.

The spelling of 2153215648 in words is "two billion, one hundred fifty-three million, two hundred fifteen thousand, six hundred forty-eight".