2535120544 has 48 divisors (see below), whose sum is σ = 5457999456. Its totient is φ = 1149523200.

The previous prime is 2535120517. The next prime is 2535120547. The reversal of 2535120544 is 4450215352.

2535120544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2535120544³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2535120547) 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, 139639 + ... + 156745.

It is an arithmetic number, because the mean of its divisors is an integer number (113708322).

Almost surely, 2^2535120544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2535120544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728999728).

2535120544 is an abundant number, since it is smaller than the sum of its proper divisors (2922878912).

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

2535120544 is a wasteful number, since it uses less digits than its factorization.

2535120544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17549 (or 17541 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 2535120544 is about 50349.9805759645. The cubic root of 2535120544 is about 1363.5347323669.

Adding to 2535120544 its reverse (4450215352), we get a palindrome (6985335896).

The spelling of 2535120544 in words is "two billion, five hundred thirty-five million, one hundred twenty thousand, five hundred forty-four".