2509427329408 has 64 divisors (see below), whose sum is σ = 5022406678320. Its totient is φ = 1248911319040.

The previous prime is 2509427329399. The next prime is 2509427329411. The reversal of 2509427329408 is 8049237249052.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34024860 + ... + 34098532.

Almost surely, 2^{2509427329408} is an apocalyptic number.

It is an amenable number.

2509427329408 is an abundant number, since it is smaller than the sum of its proper divisors (2512979348912).

2509427329408 is an equidigital number, since it uses as much as digits as its factorization.

2509427329408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74915 (or 74903 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 2509427329408 in words is "two trillion, five hundred nine billion, four hundred twenty-seven million, three hundred twenty-nine thousand, four hundred eight".