2967828864 has 384 divisors, whose sum is σ = 10783342080. Its totient is φ = 710922240.

The previous prime is 2967828859. The next prime is 2967828889. The reversal of 2967828864 is 4688287692.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 2967828798 and 2967828807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2690137 + ... + 2691239.

It is an arithmetic number, because the mean of its divisors is an integer number (28081620).

Almost surely, 2^2967828864 is an apocalyptic number.

2967828864 is a gapful number since it is divisible by the number (24) 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 2967828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5391671040).

2967828864 is an abundant number, since it is smaller than the sum of its proper divisors (7815513216).

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

2967828864 is a wasteful number, since it uses less digits than its factorization.

2967828864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1139 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The square root of 2967828864 is about 54477.7832148115. The cubic root of 2967828864 is about 1437.0756082949.

It can be divided in two parts, 2967828 and 864, that added together give a palindrome (2968692).

The spelling of 2967828864 in words is "two billion, nine hundred sixty-seven million, eight hundred twenty-eight thousand, eight hundred sixty-four".