2509328862432 has 288 divisors, whose sum is σ = 8902495929600. Its totient is φ = 679216555008.

The previous prime is 2509328862409. The next prime is 2509328862563. The reversal of 2509328862432 is 2342688239052.

It is a happy number.

2509328862432 is a `hidden beast` number, since 2 + 5 + 0 + 9 + 3 + 2 + 8 + 8 + 624 + 3 + 2 = 666.

2509328862432 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 Harshad number since it is a multiple of its sum of digits (54).

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, 178957 + ... + 2247372.

It is an arithmetic number, because the mean of its divisors is an integer number (30911444200).

Almost surely, 2^{2509328862432} 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 2509328862432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451247964800).

2509328862432 is an abundant number, since it is smaller than the sum of its proper divisors (6393167067168).

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

2509328862432 is a wasteful number, since it uses less digits than its factorization.

2509328862432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426380 (or 2426360 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 2509328862432 in words is "two trillion, five hundred nine billion, three hundred twenty-eight million, eight hundred sixty-two thousand, four hundred thirty-two".