2041556005600 has 144 divisors (see below), whose sum is σ = 4998131880336. Its totient is φ = 814301696000.

The previous prime is 2041556005591. The next prime is 2041556005661. The reversal of 2041556005600 is 65006551402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 744820230 + ... + 744822970.

It is an arithmetic number, because the mean of its divisors is an integer number (34709249169).

Almost surely, 2^{2041556005600} is an apocalyptic number.

2041556005600 is a gapful number since it is divisible by the number (20) 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 2041556005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499065940168).

2041556005600 is an abundant number, since it is smaller than the sum of its proper divisors (2956575874736).

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

2041556005600 is a wasteful number, since it uses less digits than its factorization.

2041556005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5069 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 2041556005600 in words is "two trillion, forty-one billion, five hundred fifty-six million, five thousand, six hundred".