2161819496304 has 480 divisors, whose sum is σ = 6989323321344. Its totient is φ = 642374737920.

The previous prime is 2161819496303. The next prime is 2161819496321. The reversal of 2161819496304 is 4036949181612.

2161819496304 is a `hidden beast` number, since 2 + 1 + 61 + 8 + 194 + 96 + 304 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161819496303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 951085312 + ... + 951087584.

Almost surely, 2^{2161819496304} is an apocalyptic number.

2161819496304 is a gapful number since it is divisible by the number (24) 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 2161819496304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494661660672).

2161819496304 is an abundant number, since it is smaller than the sum of its proper divisors (4827503825040).

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

2161819496304 is a wasteful number, since it uses less digits than its factorization.

2161819496304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 2161819496304 in words is "two trillion, one hundred sixty-one billion, eight hundred nineteen million, four hundred ninety-six thousand, three hundred four".