2535142240 has 48 divisors (see below), whose sum is σ = 6007493520. Its totient is φ = 1010972160.

The previous prime is 2535142237. The next prime is 2535142243. The reversal of 2535142240 is 422415352.

It is an interprime number because it is at equal distance from previous prime (2535142237) and next prime (2535142243).

It is a junction number, because it is equal to n+sod(n) for n = 2535142199 and 2535142208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2535142243) 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, 29026 + ... + 76894.

It is an arithmetic number, because the mean of its divisors is an integer number (125156115).

Almost surely, 2^2535142240 is an apocalyptic number.

2535142240 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 2535142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003746760).

2535142240 is an abundant number, since it is smaller than the sum of its proper divisors (3472351280).

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

2535142240 is a wasteful number, since it uses less digits than its factorization.

2535142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48215 (or 48207 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2535142240 is about 50350.1960274238. The cubic root of 2535142240 is about 1363.5386221445.

Adding to 2535142240 its reverse (422415352), we get a palindrome (2957557592).

The spelling of 2535142240 in words is "two billion, five hundred thirty-five million, one hundred forty-two thousand, two hundred forty".