2532505540040 has 128 divisors (see below), whose sum is σ = 6897982291200. Its totient is φ = 816885104640.

The previous prime is 2532505540027. The next prime is 2532505540079. The reversal of 2532505540040 is 400455052352.

2532505540040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11942456 + ... + 12152664.

It is an arithmetic number, because the mean of its divisors is an integer number (53890486650).

Almost surely, 2^{2532505540040} is an apocalyptic number.

2532505540040 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 2532505540040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448991145600).

2532505540040 is an abundant number, since it is smaller than the sum of its proper divisors (4365476751160).

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

2532505540040 is a wasteful number, since it uses less digits than its factorization.

2532505540040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212775 (or 212771 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 35.

The spelling of 2532505540040 in words is "two trillion, five hundred thirty-two billion, five hundred five million, five hundred forty thousand, forty".