2748578187264 has 768 divisors, whose sum is σ = 9555856128000. Its totient is φ = 686298562560.

The previous prime is 2748578187239. The next prime is 2748578187361. The reversal of 2748578187264 is 4627818758472.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1795282179 + ... + 1795283709.

It is an arithmetic number, because the mean of its divisors is an integer number (12442521000).

Almost surely, 2^{2748578187264} is an apocalyptic number.

2748578187264 is a gapful number since it is divisible by the number (24) 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 2748578187264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777928064000).

2748578187264 is an abundant number, since it is smaller than the sum of its proper divisors (6807277940736).

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

2748578187264 is a wasteful number, since it uses less digits than its factorization.

2748578187264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1575 counting only the distinct ones).

The product of its digits is 337182720, while the sum is 69.

The spelling of 2748578187264 in words is "two trillion, seven hundred forty-eight billion, five hundred seventy-eight million, one hundred eighty-seven thousand, two hundred sixty-four".