2643967116 has 384 divisors, whose sum is σ = 8825241600. Its totient is φ = 667180800.

The previous prime is 2643967069. The next prime is 2643967129. The reversal of 2643967116 is 6117693462.

It is a super-2 number, since 2×2643967116² = 13981124220978714912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17509641 + ... + 17509791.

It is an arithmetic number, because the mean of its divisors is an integer number (22982400).

Almost surely, 2^2643967116 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 2643967116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412620800).

2643967116 is an abundant number, since it is smaller than the sum of its proper divisors (6181274484).

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

2643967116 is a wasteful number, since it uses less digits than its factorization.

2643967116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 2643967116 is about 51419.5207678951. The cubic root of 2643967116 is about 1382.7765836325.

The spelling of 2643967116 in words is "two billion, six hundred forty-three million, nine hundred sixty-seven thousand, one hundred sixteen".