2163121872840 has 512 divisors, whose sum is σ = 7766737920000. Its totient is φ = 534097732608.

The previous prime is 2163121872827. The next prime is 2163121872841. The reversal of 2163121872840 is 482781213612.

2163121872840 is a `hidden beast` number, since 2 + 1 + 631 + 2 + 1 + 8 + 7 + 2 + 8 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2163121872841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 182891007 + ... + 182902833.

It is an arithmetic number, because the mean of its divisors is an integer number (15169410000).

Almost surely, 2^{2163121872840} is an apocalyptic number.

2163121872840 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 2163121872840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883368960000).

2163121872840 is an abundant number, since it is smaller than the sum of its proper divisors (5603616047160).

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

2163121872840 is a wasteful number, since it uses less digits than its factorization.

2163121872840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12106 (or 12096 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 2163121872840 in words is "two trillion, one hundred sixty-three billion, one hundred twenty-one million, eight hundred seventy-two thousand, eight hundred forty".