2663004960 has 864 divisors, whose sum is σ = 11938897152. Its totient is φ = 534159360.

The previous prime is 2663004931. The next prime is 2663004973. The reversal of 2663004960 is 694003662.

2663004960 is a `hidden beast` number, since 266 + 300 + 4 + 96 + 0 = 666.

2663004960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 36479484 + ... + 36479556.

It is an arithmetic number, because the mean of its divisors is an integer number (13818168).

Almost surely, 2^2663004960 is an apocalyptic number.

2663004960 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 2663004960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969448576).

2663004960 is an abundant number, since it is smaller than the sum of its proper divisors (9275892192).

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

2663004960 is a wasteful number, since it uses less digits than its factorization.

2663004960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2663004960 is about 51604.3114477851. The cubic root of 2663004960 is about 1386.0875365588.

The spelling of 2663004960 in words is "two billion, six hundred sixty-three million, four thousand, nine hundred sixty".