2745994177080 has 3072 divisors, whose sum is σ = 13251100262400. Its totient is φ = 493403996160.

The previous prime is 2745994177021. The next prime is 2745994177103. The reversal of 2745994177080 is 807714995472.

2745994177080 is a `hidden beast` number, since 2 + 7 + 459 + 9 + 4 + 177 + 0 + 8 + 0 = 666.

2745994177080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2745994176999 and 2745994177017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 8944606287 + ... + 8944606593.

It is an arithmetic number, because the mean of its divisors is an integer number (4313509200).

Almost surely, 2^{2745994177080} is an apocalyptic number.

2745994177080 is a gapful number since it is divisible by the number (20) 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 2745994177080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625550131200).

2745994177080 is an abundant number, since it is smaller than the sum of its proper divisors (10505106085320).

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

2745994177080 is a wasteful number, since it uses less digits than its factorization.

2745994177080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 2745994177080 in words is "two trillion, seven hundred forty-five billion, nine hundred ninety-four million, one hundred seventy-seven thousand, eighty".