2967087888 has 80 divisors (see below), whose sum is σ = 8552280000. Its totient is φ = 984890880.

The previous prime is 2967087887. The next prime is 2967087913. The reversal of 2967087888 is 8887807692.

It is a super-2 number, since 2×2967087888² = 17607221070232601088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2967087887) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 89863 + ... + 118361.

It is an arithmetic number, because the mean of its divisors is an integer number (106903500).

Almost surely, 2^2967087888 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 2967087888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276140000).

2967087888 is an abundant number, since it is smaller than the sum of its proper divisors (5585192112).

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

2967087888 is a wasteful number, since it uses less digits than its factorization.

2967087888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28757 (or 28745 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The square root of 2967087888 is about 54470.9820730267. The cubic root of 2967087888 is about 1436.9560004136.

The spelling of 2967087888 in words is "two billion, nine hundred sixty-seven million, eighty-seven thousand, eight hundred eighty-eight".