2532515040 has 288 divisors, whose sum is σ = 9586073952. Its totient is φ = 603648000.

The previous prime is 2532515039. The next prime is 2532515071. The reversal of 2532515040 is 405152352.

It is a happy number.

2532515040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 2532514995 and 2532515013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 964930 + ... + 967550.

It is an arithmetic number, because the mean of its divisors is an integer number (33284979).

Almost surely, 2^2532515040 is an apocalyptic number.

2532515040 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 2532515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4793036976).

2532515040 is an abundant number, since it is smaller than the sum of its proper divisors (7053558912).

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

2532515040 is a wasteful number, since it uses less digits than its factorization.

2532515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2532515040 is about 50324.0999919522. The cubic root of 2532515040 is about 1363.0674418978.

Adding to 2532515040 its reverse (405152352), we get a palindrome (2937667392).

The spelling of 2532515040 in words is "two billion, five hundred thirty-two million, five hundred fifteen thousand, forty".