2122610016 has 96 divisors (see below), whose sum is σ = 5956167168. Its totient is φ = 660239360.

The previous prime is 2122609981. The next prime is 2122610033. The reversal of 2122610016 is 6100162212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2122609974 and 2122610001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78805 + ... + 102251.

It is an arithmetic number, because the mean of its divisors is an integer number (62043408).

Almost surely, 2^2122610016 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 2122610016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978083584).

2122610016 is an abundant number, since it is smaller than the sum of its proper divisors (3833557152).

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

2122610016 is a wasteful number, since it uses less digits than its factorization.

2122610016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23524 (or 23516 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2122610016 is about 46071.7919773043. The cubic root of 2122610016 is about 1285.1586284915.

Adding to 2122610016 its reverse (6100162212), we get a palindrome (8222772228).

The spelling of 2122610016 in words is "two billion, one hundred twenty-two million, six hundred ten thousand, sixteen".