2041864301568 has 528 divisors, whose sum is σ = 7002356704224. Its totient is φ = 523940659200.

The previous prime is 2041864301509. The next prime is 2041864301579. The reversal of 2041864301568 is 8651034681402.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72389868 + ... + 72418068.

Almost surely, 2^{2041864301568} is an apocalyptic number.

2041864301568 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 2041864301568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501178352112).

2041864301568 is an abundant number, since it is smaller than the sum of its proper divisors (4960492402656).

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

2041864301568 is a wasteful number, since it uses less digits than its factorization.

2041864301568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28288 (or 28263 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

It can be divided in two parts, 2041864 and 301568, that added together give a palindrome (2343432).

The spelling of 2041864301568 in words is "two trillion, forty-one billion, eight hundred sixty-four million, three hundred one thousand, five hundred sixty-eight".