2968579152 has 720 divisors, whose sum is σ = 11656545600. Its totient is φ = 718502400.

The previous prime is 2968579147. The next prime is 2968579177. The reversal of 2968579152 is 2519758692.

2968579152 is a `hidden beast` number, since 2 + 9 + 68 + 579 + 1 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48665202 + ... + 48665262.

Almost surely, 2^2968579152 is an apocalyptic number.

2968579152 is a gapful number since it is divisible by the number (22) 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 2968579152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828272800).

2968579152 is an abundant number, since it is smaller than the sum of its proper divisors (8687966448).

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

2968579152 is a wasteful number, since it uses less digits than its factorization.

2968579152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 103 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 2968579152 is about 54484.6689629294. The cubic root of 2968579152 is about 1437.1966990300.

The spelling of 2968579152 in words is "two billion, nine hundred sixty-eight million, five hundred seventy-nine thousand, one hundred fifty-two".