2141166815280 has 240 divisors, whose sum is σ = 7709733732960. Its totient is φ = 546152403456.

The previous prime is 2141166815239. The next prime is 2141166815317. The reversal of 2141166815280 is 825186611412.

2141166815280 is a `hidden beast` number, since 2 + 1 + 4 + 116 + 6 + 8 + 1 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 205702 + ... + 2079578.

It is an arithmetic number, because the mean of its divisors is an integer number (32123890554).

Almost surely, 2^{2141166815280} is an apocalyptic number.

2141166815280 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 2141166815280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854866866480).

2141166815280 is an abundant number, since it is smaller than the sum of its proper divisors (5568566917680).

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

2141166815280 is a wasteful number, since it uses less digits than its factorization.

2141166815280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873945 (or 1873910 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 2141166815280 in words is "two trillion, one hundred forty-one billion, one hundred sixty-six million, eight hundred fifteen thousand, two hundred eighty".