2122586129664 has 1728 divisors, whose sum is σ = 8806768588800. Its totient is φ = 473377996800.

The previous prime is 2122586129663. The next prime is 2122586129701. The reversal of 2122586129664 is 4669216852212.

2122586129664 is a `hidden beast` number, since 2 + 12 + 2 + 5 + 8 + 612 + 9 + 6 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2122586129664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122586129663) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2585366374 + ... + 2585367194.

It is an arithmetic number, because the mean of its divisors is an integer number (5096509600).

Almost surely, 2^{2122586129664} is an apocalyptic number.

2122586129664 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 2122586129664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403384294400).

2122586129664 is an abundant number, since it is smaller than the sum of its proper divisors (6684182459136).

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

2122586129664 is a wasteful number, since it uses less digits than its factorization.

2122586129664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 935 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 2122586129664 in words is "two trillion, one hundred twenty-two billion, five hundred eighty-six million, one hundred twenty-nine thousand, six hundred sixty-four".