2153440240 has 240 divisors, whose sum is σ = 6348477600. Its totient is φ = 674666496.

The previous prime is 2153440187. The next prime is 2153440241. The reversal of 2153440240 is 420443512.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153440241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2159422 + ... + 2160418.

It is an arithmetic number, because the mean of its divisors is an integer number (26451990).

Almost surely, 2^2153440240 is an apocalyptic number.

2153440240 is a gapful number since it is divisible by the number (20) 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 2153440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174238800).

2153440240 is an abundant number, since it is smaller than the sum of its proper divisors (4195037360).

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

2153440240 is a wasteful number, since it uses less digits than its factorization.

2153440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2153440240 is about 46405.1747114479. The cubic root of 2153440240 is about 1291.3509153880.

Adding to 2153440240 its reverse (420443512), we get a palindrome (2573883752).

The spelling of 2153440240 in words is "two billion, one hundred fifty-three million, four hundred forty thousand, two hundred forty".