2153442096 has 120 divisors (see below), whose sum is σ = 6714205680. Its totient is φ = 639733248.

The previous prime is 2153442077. The next prime is 2153442103. The reversal of 2153442096 is 6902443512.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2153442096.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 34455 + ... + 74121.

It is an arithmetic number, because the mean of its divisors is an integer number (55951714).

Almost surely, 2^2153442096 is an apocalyptic number.

2153442096 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 2153442096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357102840).

2153442096 is an abundant number, since it is smaller than the sum of its proper divisors (4560763584).

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

2153442096 is a wasteful number, since it uses less digits than its factorization.

2153442096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39723 (or 39714 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2153442096 is about 46405.1947092133. The cubic root of 2153442096 is about 1291.3512863830.

The spelling of 2153442096 in words is "two billion, one hundred fifty-three million, four hundred forty-two thousand, ninety-six".