2690171641248 has 288 divisors, whose sum is σ = 8749950967296. Its totient is φ = 708613161984.

The previous prime is 2690171641163. The next prime is 2690171641273. The reversal of 2690171641248 is 8421461710962.

2690171641248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2690171641248.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93906415 + ... + 93935057.

It is an arithmetic number, because the mean of its divisors is an integer number (30381774192).

Almost surely, 2^{2690171641248} is an apocalyptic number.

2690171641248 is a gapful number since it is divisible by the number (28) 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 2690171641248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374975483648).

2690171641248 is an abundant number, since it is smaller than the sum of its proper divisors (6059779326048).

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

2690171641248 is a wasteful number, since it uses less digits than its factorization.

2690171641248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29516 (or 29495 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 2690171641248 in words is "two trillion, six hundred ninety billion, one hundred seventy-one million, six hundred forty-one thousand, two hundred forty-eight".