2701141163790 has 128 divisors (see below), whose sum is σ = 6859275264000. Its totient is φ = 678862477440.

The previous prime is 2701141163783. The next prime is 2701141163797. The reversal of 2701141163790 is 973611411072.

It is an interprime number because it is at equal distance from previous prime (2701141163783) and next prime (2701141163797).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2701141163797) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 435735111 + ... + 435741309.

It is an arithmetic number, because the mean of its divisors is an integer number (53588088000).

Almost surely, 2^{2701141163790} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2701141163790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429637632000).

2701141163790 is an abundant number, since it is smaller than the sum of its proper divisors (4158134100210).

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

2701141163790 is a wasteful number, since it uses less digits than its factorization.

2701141163790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10062.

The product of its (nonzero) digits is 63504, while the sum is 42.

The spelling of 2701141163790 in words is "two trillion, seven hundred one billion, one hundred forty-one million, one hundred sixty-three thousand, seven hundred ninety".