2141049495960 has 256 divisors, whose sum is σ = 7453857254400. Its totient is φ = 545629353984.

The previous prime is 2141049495919. The next prime is 2141049495989. The reversal of 2141049495960 is 695949401412.

2141049495960 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 0 + 4 + 9 + 49 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2141049495897 and 2141049495906.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 27856944 + ... + 27933696.

It is an arithmetic number, because the mean of its divisors is an integer number (29116629900).

Almost surely, 2^{2141049495960} is an apocalyptic number.

2141049495960 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 2141049495960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726928627200).

2141049495960 is an abundant number, since it is smaller than the sum of its proper divisors (5312807758440).

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

2141049495960 is a wasteful number, since it uses less digits than its factorization.

2141049495960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77919 (or 77909 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 2141049495960 in words is "two trillion, one hundred forty-one billion, forty-nine million, four hundred ninety-five thousand, nine hundred sixty".