2231284729752 has 512 divisors, whose sum is σ = 7229803392000. Its totient is φ = 631625195520.

The previous prime is 2231284729727. The next prime is 2231284729757. The reversal of 2231284729752 is 2579274821322.

2231284729752 is a `hidden beast` number, since 2 + 2 + 31 + 2 + 8 + 472 + 97 + 52 = 666.

It is a super-3 number, since 3×2231284729752³ (a number of 38 digits) contains 333 as substring.

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 (2231284729757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1739114503 + ... + 1739115785.

It is an arithmetic number, because the mean of its divisors is an integer number (14120709750).

Almost surely, 2^{2231284729752} 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 2231284729752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614901696000).

2231284729752 is an abundant number, since it is smaller than the sum of its proper divisors (4998518662248).

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

2231284729752 is a wasteful number, since it uses less digits than its factorization.

2231284729752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2238 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 2231284729752 in words is "two trillion, two hundred thirty-one billion, two hundred eighty-four million, seven hundred twenty-nine thousand, seven hundred fifty-two".