2161182319920 has 480 divisors, whose sum is σ = 8312654331072. Its totient is φ = 498476187648.

The previous prime is 2161182319883. The next prime is 2161182319981. The reversal of 2161182319920 is 299132811612.

2161182319920 is a `hidden beast` number, since 2 + 1 + 611 + 8 + 2 + 3 + 1 + 9 + 9 + 20 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 36090324 + ... + 36150156.

Almost surely, 2^{2161182319920} is an apocalyptic number.

2161182319920 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 2161182319920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4156327165536).

2161182319920 is an abundant number, since it is smaller than the sum of its proper divisors (6151472011152).

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

2161182319920 is a wasteful number, since it uses less digits than its factorization.

2161182319920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60109 (or 60100 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 2161182319920 in words is "two trillion, one hundred sixty-one billion, one hundred eighty-two million, three hundred nineteen thousand, nine hundred twenty".