2968742880 has 192 divisors, whose sum is σ = 10538035200. Its totient is φ = 780433920.

The previous prime is 2968742879. The next prime is 2968742969. The reversal of 2968742880 is 882478692.

2968742880 is a `hidden beast` number, since 296 + 8 + 74 + 288 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301881 + ... + 311559.

It is an arithmetic number, because the mean of its divisors is an integer number (54885600).

Almost surely, 2^2968742880 is an apocalyptic number.

2968742880 is a gapful number since it is divisible by the number (20) 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 2968742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269017600).

2968742880 is an abundant number, since it is smaller than the sum of its proper divisors (7569292320).

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

2968742880 is a wasteful number, since it uses less digits than its factorization.

2968742880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9774 (or 9760 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 2968742880 is about 54486.1714566182. The cubic root of 2968742880 is about 1437.2231207627.

The spelling of 2968742880 in words is "two billion, nine hundred sixty-eight million, seven hundred forty-two thousand, eight hundred eighty".