2041356648240 has 1440 divisors, whose sum is σ = 9272095297920. Its totient is φ = 397711835136.

The previous prime is 2041356648223. The next prime is 2041356648257. The reversal of 2041356648240 is 428466531402.

2041356648240 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 3 + 566 + 4 + 82 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2041356648223) and next prime (2041356648257).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 305909544 + ... + 305916216.

It is an arithmetic number, because the mean of its divisors is an integer number (6438955068).

Almost surely, 2^{2041356648240} is an apocalyptic number.

2041356648240 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 2041356648240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636047648960).

2041356648240 is an abundant number, since it is smaller than the sum of its proper divisors (7230738649680).

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

2041356648240 is a wasteful number, since it uses less digits than its factorization.

2041356648240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6771 (or 6755 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 2041356648240 in words is "two trillion, forty-one billion, three hundred fifty-six million, six hundred forty-eight thousand, two hundred forty".