2268058586976 has 1728 divisors, whose sum is σ = 8828686444032. Its totient is φ = 557525016576.

The previous prime is 2268058586957. The next prime is 2268058587023. The reversal of 2268058586976 is 6796858508622.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27326007031 + ... + 27326007113.

It is an arithmetic number, because the mean of its divisors is an integer number (5109193544).

Almost surely, 2^{2268058586976} is an apocalyptic number.

2268058586976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268058586976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414343222016).

2268058586976 is an abundant number, since it is smaller than the sum of its proper divisors (6560627857056).

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

2268058586976 is a wasteful number, since it uses less digits than its factorization.

2268058586976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 2268058586976 in words is "two trillion, two hundred sixty-eight billion, fifty-eight million, five hundred eighty-six thousand, nine hundred seventy-six".