2514413728128 has 32 divisors (see below), whose sum is σ = 6678911466360. Its totient is φ = 838137909248.

The previous prime is 2514413728117. The next prime is 2514413728219. The reversal of 2514413728128 is 8218273144152.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3273975825 + ... + 3273976592.

Almost surely, 2^{2514413728128} is an apocalyptic number.

It is an amenable number.

2514413728128 is an abundant number, since it is smaller than the sum of its proper divisors (4164497738232).

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

2514413728128 is an equidigital number, since it uses as much as digits as its factorization.

2514413728128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6547952434 (or 6547952422 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The spelling of 2514413728128 in words is "two trillion, five hundred fourteen billion, four hundred thirteen million, seven hundred twenty-eight thousand, one hundred twenty-eight".