2658732043968 has 2688 divisors, whose sum is σ = 11423416320000. Its totient is φ = 599152619520.

The previous prime is 2658732043963. The next prime is 2658732044029. The reversal of 2658732043968 is 8693402378562.

It is a happy number.

2658732043968 is a `hidden beast` number, since 2 + 6 + 58 + 73 + 20 + 439 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2658732043963) 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 383 ways as a sum of consecutive naturals, for example, 20934897921 + ... + 20934898047.

Almost surely, 2^{2658732043968} is an apocalyptic number.

2658732043968 is a gapful number since it is divisible by the number (28) 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 2658732043968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711708160000).

2658732043968 is an abundant number, since it is smaller than the sum of its proper divisors (8764684276032).

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

2658732043968 is a wasteful number, since it uses less digits than its factorization.

2658732043968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 2658732043968 in words is "two trillion, six hundred fifty-eight billion, seven hundred thirty-two million, forty-three thousand, nine hundred sixty-eight".