2041735680 has 320 divisors, whose sum is σ = 7345958400. Its totient is φ = 537477120.

The previous prime is 2041735679. The next prime is 2041735681. The reversal of 2041735680 is 865371402.

2041735680 is a `hidden beast` number, since 20 + 4 + 1 + 73 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2041735679) and next prime (2041735681).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2041735681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7533945 + ... + 7534215.

It is an arithmetic number, because the mean of its divisors is an integer number (22956120).

Almost surely, 2^2041735680 is an apocalyptic number.

2041735680 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 2041735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672979200).

2041735680 is an abundant number, since it is smaller than the sum of its proper divisors (5304222720).

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

2041735680 is a wasteful number, since it uses less digits than its factorization.

2041735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2041735680 is about 45185.5693778445. The cubic root of 2041735680 is about 1268.6247290555.

The spelling of 2041735680 in words is "two billion, forty-one million, seven hundred thirty-five thousand, six hundred eighty".