2918781216 has 480 divisors, whose sum is σ = 10040405760. Its totient is φ = 824131584.

The previous prime is 2918781211. The next prime is 2918781287. The reversal of 2918781216 is 6121878192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2918781211) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30090480 + ... + 30090576.

It is an arithmetic number, because the mean of its divisors is an integer number (20917512).

Almost surely, 2^2918781216 is an apocalyptic number.

2918781216 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 2918781216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020202880).

2918781216 is an abundant number, since it is smaller than the sum of its proper divisors (7121624544).

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

2918781216 is a wasteful number, since it uses less digits than its factorization.

2918781216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 2918781216 is about 54025.7458625052. The cubic root of 2918781216 is about 1429.1150107976.

The spelling of 2918781216 in words is "two billion, nine hundred eighteen million, seven hundred eighty-one thousand, two hundred sixteen".