2745563919100 has 72 divisors (see below), whose sum is σ = 6306650879760. Its totient is φ = 1035696238080.

The previous prime is 2745563919073. The next prime is 2745563919121. The reversal of 2745563919100 is 19193655472.

It is a super-3 number, since 3×2745563919100³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10883977 + ... + 11133376.

It is an arithmetic number, because the mean of its divisors is an integer number (87592373330).

Almost surely, 2^{2745563919100} is an apocalyptic number.

2745563919100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2745563919100 is an abundant number, since it is smaller than the sum of its proper divisors (3561086960660).

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

2745563919100 is a wasteful number, since it uses less digits than its factorization.

2745563919100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22017439 (or 22017432 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 52.

It can be divided in two parts, 2745563 and 919100, that added together give a palindrome (3664663).

The spelling of 2745563919100 in words is "two trillion, seven hundred forty-five billion, five hundred sixty-three million, nine hundred nineteen thousand, one hundred".