2509432412352 has 112 divisors (see below), whose sum is σ = 6678221644800. Its totient is φ = 831606430720.

The previous prime is 2509432412341. The next prime is 2509432412359. The reversal of 2509432412352 is 2532142349052.

It is not an unprimeable number, because it can be changed into a prime (2509432412359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244316977 + ... + 244327247.

Almost surely, 2^{2509432412352} 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 2509432412352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339110822400).

2509432412352 is an abundant number, since it is smaller than the sum of its proper divisors (4168789232448).

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

2509432412352 is a wasteful number, since it uses less digits than its factorization.

2509432412352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17574 (or 17564 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 2509432412352 in words is "two trillion, five hundred nine billion, four hundred thirty-two million, four hundred twelve thousand, three hundred fifty-two".