2631161176140 has 288 divisors, whose sum is σ = 8826754071744. Its totient is φ = 583487815680.

The previous prime is 2631161176121. The next prime is 2631161176181. The reversal of 2631161176140 is 416711611362.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38365080 + ... + 38433600.

It is an arithmetic number, because the mean of its divisors is an integer number (30648451638).

Almost surely, 2^{2631161176140} is an apocalyptic number.

2631161176140 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 2631161176140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4413377035872).

2631161176140 is an abundant number, since it is smaller than the sum of its proper divisors (6195592895604).

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

2631161176140 is a wasteful number, since it uses less digits than its factorization.

2631161176140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68937 (or 68928 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 2631161176140 in words is "two trillion, six hundred thirty-one billion, one hundred sixty-one million, one hundred seventy-six thousand, one hundred forty".