2668536360 has 512 divisors, whose sum is σ = 10782720000. Its totient is φ = 573889536.

The previous prime is 2668536307. The next prime is 2668536361. The reversal of 2668536360 is 636358662.

2668536360 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 5 + 3 + 636 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2668536361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17909566 + ... + 17909714.

It is an arithmetic number, because the mean of its divisors is an integer number (21060000).

Almost surely, 2^2668536360 is an apocalyptic number.

2668536360 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 2668536360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5391360000).

2668536360 is an abundant number, since it is smaller than the sum of its proper divisors (8114183640).

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

2668536360 is a wasteful number, since it uses less digits than its factorization.

2668536360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 2668536360 is about 51657.8780051988. The cubic root of 2668536360 is about 1387.0465662244.

The spelling of 2668536360 in words is "two billion, six hundred sixty-eight million, five hundred thirty-six thousand, three hundred sixty".