2162877541632 has 504 divisors, whose sum is σ = 6777770436864. Its totient is φ = 687233175552.

The previous prime is 2162877541621. The next prime is 2162877541633. The reversal of 2162877541632 is 2361457782612.

2162877541632 is a `hidden beast` number, since 2 + 1 + 6 + 28 + 77 + 541 + 6 + 3 + 2 = 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 (2162877541633) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 1575292498 + ... + 1575293870.

It is an arithmetic number, because the mean of its divisors is an integer number (13447957216).

Almost surely, 2^{2162877541632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2162877541632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388885218432).

2162877541632 is an abundant number, since it is smaller than the sum of its proper divisors (4614892895232).

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

2162877541632 is an equidigital number, since it uses as much as digits as its factorization.

2162877541632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1768 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 2162877541632 in words is "two trillion, one hundred sixty-two billion, eight hundred seventy-seven million, five hundred forty-one thousand, six hundred thirty-two".