2153100240 has 120 divisors (see below), whose sum is σ = 7407291528. Its totient is φ = 560148480.

The previous prime is 2153100239. The next prime is 2153100277. The reversal of 2153100240 is 420013512.

It can be written as a sum of positive squares in 4 ways, for example, as 244109376 + 1908990864 = 15624^2 + 43692^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 6949 + ... + 65988.

Almost surely, 2^2153100240 is an apocalyptic number.

2153100240 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 2153100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703645764).

2153100240 is an abundant number, since it is smaller than the sum of its proper divisors (5254191288).

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

2153100240 is a wasteful number, since it uses less digits than its factorization.

2153100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72997 (or 72988 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2153100240 is about 46401.5111822880. The cubic root of 2153100240 is about 1291.2829493474.

Adding to 2153100240 its reverse (420013512), we get a palindrome (2573113752).

The spelling of 2153100240 in words is "two billion, one hundred fifty-three million, one hundred thousand, two hundred forty".