2352664664532 has 480 divisors, whose sum is σ = 8064198912000. Its totient is φ = 580732270848.

The previous prime is 2352664664531. The next prime is 2352664664533. The reversal of 2352664664532 is 2354664662532.

2352664664532 is a `hidden beast` number, since 2 + 3 + 5 + 2 + 6 + 6 + 46 + 64 + 532 = 666.

It is an interprime number because it is at equal distance from previous prime (2352664664531) and next prime (2352664664533).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2352664664531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 46470969 + ... + 46521567.

It is an arithmetic number, because the mean of its divisors is an integer number (16800414400).

Almost surely, 2^{2352664664532} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2352664664532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032099456000).

2352664664532 is an abundant number, since it is smaller than the sum of its proper divisors (5711534247468).

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

2352664664532 is a wasteful number, since it uses less digits than its factorization.

2352664664532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50737 (or 50726 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 54.

It can be divided in two parts, 2352664 and 664532, that added together give a triangular number (3017196 = T₂₄₅₆).

The spelling of 2352664664532 in words is "two trillion, three hundred fifty-two billion, six hundred sixty-four million, six hundred sixty-four thousand, five hundred thirty-two".