2664363240000 has 3360 divisors, whose sum is σ = 13026030336000. Its totient is φ = 526901760000.

The previous prime is 2664363239963. The next prime is 2664363240017. The reversal of 2664363240000 is 423634662.

2664363240000 is a `hidden beast` number, since 2 + 6 + 643 + 6 + 3 + 2 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 13388759901 + ... + 13388760099.

Almost surely, 2^{2664363240000} is an apocalyptic number.

2664363240000 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 2664363240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6513015168000).

2664363240000 is an abundant number, since it is smaller than the sum of its proper divisors (10361667096000).

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

2664363240000 is a wasteful number, since it uses less digits than its factorization.

2664363240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 2664363240000 its reverse (423634662), we get a palindrome (2664786874662).

The spelling of 2664363240000 in words is "two trillion, six hundred sixty-four billion, three hundred sixty-three million, two hundred forty thousand".