2668311360 has 1008 divisors, whose sum is σ = 11804782080. Its totient is φ = 547430400.

The previous prime is 2668311319. The next prime is 2668311367. The reversal of 2668311360 is 631138662.

2668311360 = 3163² + 3164² + ... + 3409².

2668311360 is a `hidden beast` number, since 266 + 8 + 31 + 1 + 360 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668311367) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86074545 + ... + 86074575.

Almost surely, 2^2668311360 is an apocalyptic number.

2668311360 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 2668311360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5902391040).

2668311360 is an abundant number, since it is smaller than the sum of its proper divisors (9136470720).

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

2668311360 is a wasteful number, since it uses less digits than its factorization.

2668311360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2668311360 is about 51655.7001694876. The cubic root of 2668311360 is about 1387.0075817767.

It can be divided in two parts, 2668 and 311360, that added together give a triangular number (314028 = T₇₉₂).

The spelling of 2668311360 in words is "two billion, six hundred sixty-eight million, three hundred eleven thousand, three hundred sixty".