2967715488 has 96 divisors (see below), whose sum is σ = 8213184000. Its totient is φ = 935698176.

The previous prime is 2967715481. The next prime is 2967715489. The reversal of 2967715488 is 8845177692.

2967715488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (2967715481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2120613 + ... + 2122011.

It is an arithmetic number, because the mean of its divisors is an integer number (85554000).

Almost surely, 2^2967715488 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 2967715488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106592000).

2967715488 is an abundant number, since it is smaller than the sum of its proper divisors (5245468512).

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

2967715488 is a wasteful number, since it uses less digits than its factorization.

2967715488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2586 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 57.

The square root of 2967715488 is about 54476.7426338984. The cubic root of 2967715488 is about 1437.0573085022.

The spelling of 2967715488 in words is "two billion, nine hundred sixty-seven million, seven hundred fifteen thousand, four hundred eighty-eight".