2467776960 has 336 divisors, whose sum is σ = 9418941792. Its totient is φ = 587980800.

The previous prime is 2467776947. The next prime is 2467776977. The reversal of 2467776960 is 696777642.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2467776897 and 2467776906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1931842 + ... + 1933118.

Almost surely, 2^2467776960 is an apocalyptic number.

2467776960 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 2467776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709470896).

2467776960 is an abundant number, since it is smaller than the sum of its proper divisors (6951164832).

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

2467776960 is a wasteful number, since it uses less digits than its factorization.

2467776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The square root of 2467776960 is about 49676.7245297030. The cubic root of 2467776960 is about 1351.3524553320.

The spelling of 2467776960 in words is "two billion, four hundred sixty-seven million, seven hundred seventy-six thousand, nine hundred sixty".