2291963751936 has 480 divisors, whose sum is σ = 6983802650880. Its totient is φ = 741994463232.

The previous prime is 2291963751853. The next prime is 2291963751977. The reversal of 2291963751936 is 6391573691922.

2291963751936 is a `hidden beast` number, since 2 + 2 + 91 + 96 + 375 + 1 + 93 + 6 = 666.

It is a super-2 number, since 2×2291963751936² (a number of 26 digits) contains 22 as substring.

Its product of digits (33067440) is a multiple of the sum of its prime divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 8714690941 + ... + 8714691203.

It is an arithmetic number, because the mean of its divisors is an integer number (14549588856).

Almost surely, 2^{2291963751936} 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 2291963751936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491901325440).

2291963751936 is an abundant number, since it is smaller than the sum of its proper divisors (4691838898944).

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

2291963751936 is an frugal number, since it uses more digits than its factorization.

2291963751936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 432 counting only the distinct ones).

The product of its digits is 33067440, while the sum is 63.

The spelling of 2291963751936 in words is "two trillion, two hundred ninety-one billion, nine hundred sixty-three million, seven hundred fifty-one thousand, nine hundred thirty-six".