2754928161072 has 320 divisors, whose sum is σ = 8513712230400. Its totient is φ = 850887797760.

The previous prime is 2754928161031. The next prime is 2754928161119. The reversal of 2754928161072 is 2701618294572.

2754928161072 is a `hidden beast` number, since 2 + 7 + 5 + 492 + 81 + 6 + 1 + 0 + 72 = 666.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 41568922 + ... + 41635142.

It is an arithmetic number, because the mean of its divisors is an integer number (26605350720).

Almost surely, 2^{2754928161072} 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 2754928161072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256856115200).

2754928161072 is an abundant number, since it is smaller than the sum of its proper divisors (5758784069328).

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

2754928161072 is a wasteful number, since it uses less digits than its factorization.

2754928161072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66393 (or 66381 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 2754928161072 in words is "two trillion, seven hundred fifty-four billion, nine hundred twenty-eight million, one hundred sixty-one thousand, seventy-two".