2041967189496 has 256 divisors, whose sum is σ = 5779432995840. Its totient is φ = 596508549120.

The previous prime is 2041967189491. The next prime is 2041967189501. The reversal of 2041967189496 is 6949817691402.

It is an interprime number because it is at equal distance from previous prime (2041967189491) and next prime (2041967189501).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041967189491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1093714755 + ... + 1093716621.

It is an arithmetic number, because the mean of its divisors is an integer number (22575910140).

Almost surely, 2^{2041967189496} is an apocalyptic number.

2041967189496 is a gapful number since it is divisible by the number (26) 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 2041967189496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889716497920).

2041967189496 is an abundant number, since it is smaller than the sum of its proper divisors (3737465806344).

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

2041967189496 is a wasteful number, since it uses less digits than its factorization.

2041967189496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 66.

The spelling of 2041967189496 in words is "two trillion, forty-one billion, nine hundred sixty-seven million, one hundred eighty-nine thousand, four hundred ninety-six".