2067442080 has 384 divisors, whose sum is σ = 7775502336. Its totient is φ = 455884800.

The previous prime is 2067442057. The next prime is 2067442109. The reversal of 2067442080 is 802447602.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2782189 + ... + 2782931.

It is an arithmetic number, because the mean of its divisors is an integer number (20248704).

Almost surely, 2^2067442080 is an apocalyptic number.

2067442080 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 2067442080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887751168).

2067442080 is an abundant number, since it is smaller than the sum of its proper divisors (5708060256).

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

2067442080 is a wasteful number, since it uses less digits than its factorization.

2067442080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 2067442080 is about 45469.1332664259. The cubic root of 2067442080 is about 1273.9267307841.

Adding to 2067442080 its reverse (802447602), we get a palindrome (2869889682).

The spelling of 2067442080 in words is "two billion, sixty-seven million, four hundred forty-two thousand, eighty".