2023967616 has 256 divisors, whose sum is σ = 6218311680. Its totient is φ = 577280000.

The previous prime is 2023967581. The next prime is 2023967641. The reversal of 2023967616 is 6167693202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8063491 + ... + 8063741.

It is an arithmetic number, because the mean of its divisors is an integer number (24290280).

Almost surely, 2^2023967616 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 2023967616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109155840).

2023967616 is an abundant number, since it is smaller than the sum of its proper divisors (4194344064).

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

2023967616 is a wasteful number, since it uses less digits than its factorization.

2023967616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 2023967616 is about 44988.5276042682. The cubic root of 2023967616 is about 1264.9339622970.

It can be divided in two parts, 202396 and 7616, that added together give a palindrome (210012).

The spelling of 2023967616 in words is "two billion, twenty-three million, nine hundred sixty-seven thousand, six hundred sixteen".