2566690633728 has 768 divisors, whose sum is σ = 8780075740800. Its totient is φ = 743008370688.

The previous prime is 2566690633709. The next prime is 2566690633729. The reversal of 2566690633728 is 8273360966652.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×2566690633728³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2566690633729) 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 63 ways as a sum of consecutive naturals, for example, 989852400 + ... + 989854992.

Almost surely, 2^{2566690633728} 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 2566690633728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390037870400).

2566690633728 is an abundant number, since it is smaller than the sum of its proper divisors (6213385107072).

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

2566690633728 is an equidigital number, since it uses as much as digits as its factorization.

2566690633728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 2566690633728 in words is "two trillion, five hundred sixty-six billion, six hundred ninety million, six hundred thirty-three thousand, seven hundred twenty-eight".