2705006045140 has 96 divisors (see below), whose sum is σ = 6503132563200. Its totient is φ = 925843731456.

The previous prime is 2705006045117. The next prime is 2705006045191. The reversal of 2705006045140 is 415406005072.

It is a junction number, because it is equal to n+sod(n) for n = 2705006045096 and 2705006045105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231211011 + ... + 231222709.

It is an arithmetic number, because the mean of its divisors is an integer number (67740964200).

Almost surely, 2^{2705006045140} is an apocalyptic number.

2705006045140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2705006045140 is an abundant number, since it is smaller than the sum of its proper divisors (3798126518060).

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

2705006045140 is a wasteful number, since it uses less digits than its factorization.

2705006045140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14401 (or 14399 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 2705006045140 in words is "two trillion, seven hundred five billion, six million, forty-five thousand, one hundred forty".