2663360640 has 192 divisors, whose sum is σ = 9446238360. Its totient is φ = 690978816.

The previous prime is 2663360599. The next prime is 2663360653. The reversal of 2663360640 is 460633662.

2663360640 is a `hidden beast` number, since 2 + 6 + 6 + 3 + 3 + 6 + 0 + 640 = 666.

2663360640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2537741376 + 125619264 = 50376^2 + 11208^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 2663360595 and 2663360604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206872 + ... + 219368.

Almost surely, 2^2663360640 is an apocalyptic number.

2663360640 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 2663360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723119180).

2663360640 is an abundant number, since it is smaller than the sum of its proper divisors (6782877720).

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

2663360640 is a wasteful number, since it uses less digits than its factorization.

2663360640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12559 (or 12544 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 2663360640 is about 51607.7575563984. The cubic root of 2663360640 is about 1386.1492440002.

The spelling of 2663360640 in words is "two billion, six hundred sixty-three million, three hundred sixty thousand, six hundred forty".