2153727672 has 128 divisors (see below), whose sum is σ = 5880211200. Its totient is φ = 655008768.

The previous prime is 2153727623. The next prime is 2153727673. The reversal of 2153727672 is 2767273512.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153727673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1804708 + ... + 1805900.

It is an arithmetic number, because the mean of its divisors is an integer number (45939150).

Almost surely, 2^2153727672 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 2153727672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940105600).

2153727672 is an abundant number, since it is smaller than the sum of its proper divisors (3726483528).

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

2153727672 is a wasteful number, since it uses less digits than its factorization.

2153727672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1361 counting only the distinct ones).

The product of its digits is 246960, while the sum is 42.

The square root of 2153727672 is about 46408.2715903103. The cubic root of 2153727672 is about 1291.4083674990.

The spelling of 2153727672 in words is "two billion, one hundred fifty-three million, seven hundred twenty-seven thousand, six hundred seventy-two".