2638121216 has 72 divisors (see below), whose sum is σ = 5411073024. Its totient is φ = 1283143680.

The previous prime is 2638121197. The next prime is 2638121243. The reversal of 2638121216 is 6121218362.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1722371 + ... + 1723901.

It is an arithmetic number, because the mean of its divisors is an integer number (75153792).

Almost surely, 2^2638121216 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 2638121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705536512).

2638121216 is an abundant number, since it is smaller than the sum of its proper divisors (2772951808).

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

2638121216 is a wasteful number, since it uses less digits than its factorization.

2638121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1713 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 2638121216 is about 51362.6441686952. The cubic root of 2638121216 is about 1381.7567097979.

Adding to 2638121216 its reverse (6121218362), we get a palindrome (8759339578).

The spelling of 2638121216 in words is "two billion, six hundred thirty-eight million, one hundred twenty-one thousand, two hundred sixteen".