2291203236672 has 462 divisors, whose sum is σ = 7933960664178. Its totient is φ = 654576588288.

The previous prime is 2291203236607. The next prime is 2291203236691. The reversal of 2291203236672 is 2766323021922.

2291203236672 is a `hidden beast` number, since 229 + 120 + 3 + 236 + 6 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1964549837376 + 326653399296 = 1401624^2 + 571536^2 .

It is a super-2 number, since 2×2291203236672² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 65 ways as a sum of consecutive naturals, for example, 185171478 + ... + 185183850.

Almost surely, 2^{2291203236672} 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 2291203236672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966980332089).

2291203236672 is an abundant number, since it is smaller than the sum of its proper divisors (5642757427506).

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

2291203236672 is an frugal number, since it uses more digits than its factorization.

2291203236672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12429 (or 12385 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 2291203236672 in words is "two trillion, two hundred ninety-one billion, two hundred three million, two hundred thirty-six thousand, six hundred seventy-two".