2663631360 has 240 divisors, whose sum is σ = 9935629704. Its totient is φ = 655589376.

The previous prime is 2663631359. The next prime is 2663631361. The reversal of 2663631360 is 631363662.

It is a happy number.

2663631360 is a `hidden beast` number, since 2 + 6 + 636 + 3 + 13 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2663631359) and next prime (2663631361).

It can be written as a sum of positive squares in 4 ways, for example, as 1125736704 + 1537894656 = 33552^2 + 39216^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (2663631361) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 295074 + ... + 303966.

Almost surely, 2^2663631360 is an apocalyptic number.

2663631360 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 2663631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967814852).

2663631360 is an abundant number, since it is smaller than the sum of its proper divisors (7271998344).

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

2663631360 is a wasteful number, since it uses less digits than its factorization.

2663631360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8935 (or 8916 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 2663631360 is about 51610.3803512433. The cubic root of 2663631360 is about 1386.1962079254.

The spelling of 2663631360 in words is "two billion, six hundred sixty-three million, six hundred thirty-one thousand, three hundred sixty".