2640168000 has 448 divisors, whose sum is σ = 10270540800. Its totient is φ = 661708800.

The previous prime is 2640167947. The next prime is 2640168053. The reversal of 2640168000 is 8610462.

2640168000 is a `hidden beast` number, since 2 + 640 + 16 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2640167947) and next prime (2640168053).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3671641 + ... + 3672359.

Almost surely, 2^2640168000 is an apocalyptic number.

2640168000 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 2640168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5135270400).

2640168000 is an abundant number, since it is smaller than the sum of its proper divisors (7630372800).

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

2640168000 is a wasteful number, since it uses less digits than its factorization.

2640168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2640168000 is about 51382.5651364351. The cubic root of 2640168000 is about 1382.1139623274.

Adding to 2640168000 its reverse (8610462), we get a palindrome (2648778462).

The spelling of 2640168000 in words is "two billion, six hundred forty million, one hundred sixty-eight thousand".