2968505280 has 672 divisors, whose sum is σ = 12048134400. Its totient is φ = 685780992.

The previous prime is 2968505251. The next prime is 2968505297. The reversal of 2968505280 is 825058692.

2968505280 = 3343² + 3344² + ... + 3589².

2968505280 is a `hidden beast` number, since 2 + 9 + 68 + 505 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 27742987 + ... + 27743093.

Almost surely, 2^2968505280 is an apocalyptic number.

2968505280 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 2968505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6024067200).

2968505280 is an abundant number, since it is smaller than the sum of its proper divisors (9079629120).

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

2968505280 is a wasteful number, since it uses less digits than its factorization.

2968505280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 2968505280 is about 54483.9910432413. The cubic root of 2968505280 is about 1437.1847775607.

The spelling of 2968505280 in words is "two billion, nine hundred sixty-eight million, five hundred five thousand, two hundred eighty".