2735913560912 has 320 divisors, whose sum is σ = 6443426880000. Its totient is φ = 1100834144256.

The previous prime is 2735913560911. The next prime is 2735913560951. The reversal of 2735913560912 is 2190653195372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2735913560911) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6093348464 + ... + 6093348912.

It is an arithmetic number, because the mean of its divisors is an integer number (20135709000).

Almost surely, 2^{2735913560912} 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 2735913560912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221713440000).

2735913560912 is an abundant number, since it is smaller than the sum of its proper divisors (3707513319088).

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

2735913560912 is a wasteful number, since it uses less digits than its factorization.

2735913560912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 53.

The spelling of 2735913560912 in words is "two trillion, seven hundred thirty-five billion, nine hundred thirteen million, five hundred sixty thousand, nine hundred twelve".