2041966480 has 80 divisors (see below), whose sum is σ = 5007715200. Its totient is φ = 772208640.

The previous prime is 2041966463. The next prime is 2041966489. The reversal of 2041966480 is 846691402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2041966489) by changing a digit.

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, 958056 + ... + 960184.

It is an arithmetic number, because the mean of its divisors is an integer number (62596440).

Almost surely, 2^2041966480 is an apocalyptic number.

2041966480 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 2041966480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503857600).

2041966480 is an abundant number, since it is smaller than the sum of its proper divisors (2965748720).

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

2041966480 is a wasteful number, since it uses less digits than its factorization.

2041966480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 2041966480 is about 45188.1232183856. The cubic root of 2041966480 is about 1268.6725294896.

The spelling of 2041966480 in words is "two billion, forty-one million, nine hundred sixty-six thousand, four hundred eighty".