2141011856640 has 576 divisors, whose sum is σ = 7695591321600. Its totient is φ = 504097800192.

The previous prime is 2141011856597. The next prime is 2141011856651. The reversal of 2141011856640 is 466581101412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127744581 + ... + 127761339.

It is an arithmetic number, because the mean of its divisors is an integer number (13360401600).

Almost surely, 2^{2141011856640} is an apocalyptic number.

2141011856640 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 2141011856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847795660800).

2141011856640 is an abundant number, since it is smaller than the sum of its proper divisors (5554579464960).

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

2141011856640 is a wasteful number, since it uses less digits than its factorization.

2141011856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16922 (or 16908 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 2141011856640 in words is "two trillion, one hundred forty-one billion, eleven million, eight hundred fifty-six thousand, six hundred forty".