2532101440 has 112 divisors (see below), whose sum is σ = 6731081280. Its totient is φ = 899297280.

The previous prime is 2532101419. The next prime is 2532101449. The reversal of 2532101440 is 441012352.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2532101449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142996 + ... + 159724.

It is an arithmetic number, because the mean of its divisors is an integer number (60098940).

Almost surely, 2^2532101440 is an apocalyptic number.

2532101440 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 2532101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365540640).

2532101440 is an abundant number, since it is smaller than the sum of its proper divisors (4198979840).

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

2532101440 is a wasteful number, since it uses less digits than its factorization.

2532101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16800 (or 16790 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2532101440 is about 50319.9904610484. The cubic root of 2532101440 is about 1362.9932343244.

Adding to 2532101440 its product of nonzero digits (960), we get a square (2532102400 = 50320²).

Adding to 2532101440 its reverse (441012352), we get a palindrome (2973113792).

The spelling of 2532101440 in words is "two billion, five hundred thirty-two million, one hundred one thousand, four hundred forty".