2122105556634 has 96 divisors (see below), whose sum is σ = 4974319848960. Its totient is φ = 601761519072.

The previous prime is 2122105556611. The next prime is 2122105556653. The reversal of 2122105556634 is 4366555012212.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32322789 + ... + 32388375.

It is an arithmetic number, because the mean of its divisors is an integer number (51815831760).

Almost surely, 2^{2122105556634} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122105556634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487159924480).

2122105556634 is an abundant number, since it is smaller than the sum of its proper divisors (2852214292326).

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

2122105556634 is a wasteful number, since it uses less digits than its factorization.

2122105556634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66432 (or 66425 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 2122105556634 in words is "two trillion, one hundred twenty-two billion, one hundred five million, five hundred fifty-six thousand, six hundred thirty-four".