2663976960 has 312 divisors, whose sum is σ = 9391800600. Its totient is φ = 698351616.

The previous prime is 2663976941. The next prime is 2663976961. The reversal of 2663976960 is 696793662.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16257024 + 2647719936 = 4032^2 + 51456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2663976897 and 2663976906.

It is not an unprimeable number, because it can be changed into a prime (2663976961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17878966 + ... + 17879114.

It is an arithmetic number, because the mean of its divisors is an integer number (30101925).

Almost surely, 2^2663976960 is an apocalyptic number.

2663976960 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 2663976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4695900300).

2663976960 is an abundant number, since it is smaller than the sum of its proper divisors (6727823640).

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

2663976960 is a wasteful number, since it uses less digits than its factorization.

2663976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 2663976960 is about 51613.7284063068. The cubic root of 2663976960 is about 1386.2561572486.

The spelling of 2663976960 in words is "two billion, six hundred sixty-three million, nine hundred seventy-six thousand, nine hundred sixty".