2532010240 has 72 divisors (see below), whose sum is σ = 6081312888. Its totient is φ = 1010073600.

The previous prime is 2532010231. The next prime is 2532010249. The reversal of 2532010240 is 420102352.

It is an interprime number because it is at equal distance from previous prime (2532010231) and next prime (2532010249).

It can be written as a sum of positive squares in 4 ways, for example, as 732893184 + 1799117056 = 27072^2 + 42416^2 .

It is a super-2 number, since 2×2532010240² = 12822151710929715200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2532010249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510814 + ... + 515746.

It is an arithmetic number, because the mean of its divisors is an integer number (84462679).

Almost surely, 2^2532010240 is an apocalyptic number.

2532010240 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 2532010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040656444).

2532010240 is an abundant number, since it is smaller than the sum of its proper divisors (3549302648).

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

2532010240 is an equidigital number, since it uses as much as digits as its factorization.

2532010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5355 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2532010240 is about 50319.0842523987. The cubic root of 2532010240 is about 1362.9768702518.

Adding to 2532010240 its reverse (420102352), we get a palindrome (2952112592).

The spelling of 2532010240 in words is "two billion, five hundred thirty-two million, ten thousand, two hundred forty".