2032786634368 has 128 divisors (see below), whose sum is σ = 4816126656000. Its totient is φ = 836510395392.

The previous prime is 2032786634327. The next prime is 2032786634399. The reversal of 2032786634368 is 8634366872302.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 1826023 + ... + 2720281.

It is an arithmetic number, because the mean of its divisors is an integer number (37625989500).

Almost surely, 2^{2032786634368} is an apocalyptic number.

2032786634368 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 2032786634368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408063328000).

2032786634368 is an abundant number, since it is smaller than the sum of its proper divisors (2783340021632).

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

2032786634368 is an equidigital number, since it uses as much as digits as its factorization.

2032786634368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894382 (or 894370 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 58.

The spelling of 2032786634368 in words is "two trillion, thirty-two billion, seven hundred eighty-six million, six hundred thirty-four thousand, three hundred sixty-eight".