2066461040 has 80 divisors (see below), whose sum is σ = 5542359552. Its totient is φ = 701859072.

The previous prime is 2066461039. The next prime is 2066461051. The reversal of 2066461040 is 401646602.

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

It is a super-2 number, since 2×2066461040² = 8540522459675763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2066460994 and 2066461012.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 42677 + ... + 77163.

Almost surely, 2^2066461040 is an apocalyptic number.

2066461040 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 2066461040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771179776).

2066461040 is an abundant number, since it is smaller than the sum of its proper divisors (3475898512).

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

2066461040 is a wasteful number, since it uses less digits than its factorization.

2066461040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34614 (or 34608 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 2066461040 is about 45458.3440085536. The cubic root of 2066461040 is about 1273.7251982036.

The spelling of 2066461040 in words is "two billion, sixty-six million, four hundred sixty-one thousand, forty".