2122261315616 has 72 divisors (see below), whose sum is σ = 4527393106320. Its totient is φ = 978841034496.

The previous prime is 2122261315579. The next prime is 2122261315627. The reversal of 2122261315616 is 6165131622212.

It is a super-3 number, since 3×2122261315616³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2122261315616.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7887755 + ... + 8152373.

It is an arithmetic number, because the mean of its divisors is an integer number (62880459810).

Almost surely, 2^{2122261315616} is an apocalyptic number.

2122261315616 is a gapful number since it is divisible by the number (26) 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 2122261315616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263696553160).

2122261315616 is an abundant number, since it is smaller than the sum of its proper divisors (2405131790704).

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

2122261315616 is a wasteful number, since it uses less digits than its factorization.

2122261315616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266138 (or 266117 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

Adding to 2122261315616 its reverse (6165131622212), we get a palindrome (8287392937828).

The spelling of 2122261315616 in words is "two trillion, one hundred twenty-two billion, two hundred sixty-one million, three hundred fifteen thousand, six hundred sixteen".