2968853472 has 288 divisors, whose sum is σ = 9662260608. Its totient is φ = 890942976.

The previous prime is 2968853467. The next prime is 2968853479. The reversal of 2968853472 is 2743588692.

2968853472 is a `hidden beast` number, since 2 + 96 + 8 + 85 + 3 + 472 = 666.

2968853472 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968853479) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4346443 + ... + 4347125.

It is an arithmetic number, because the mean of its divisors is an integer number (33549516).

Almost surely, 2^2968853472 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 2968853472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831130304).

2968853472 is an abundant number, since it is smaller than the sum of its proper divisors (6693407136).

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

2968853472 is a wasteful number, since it uses less digits than its factorization.

2968853472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 744 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 2968853472 is about 54487.1863101776. The cubic root of 2968853472 is about 1437.2409670827.

The spelling of 2968853472 in words is "two billion, nine hundred sixty-eight million, eight hundred fifty-three thousand, four hundred seventy-two".