2067482880 has 648 divisors, whose sum is σ = 8222864832. Its totient is φ = 496336896.

The previous prime is 2067482843. The next prime is 2067482881. The reversal of 2067482880 is 882847602.

2067482880 = 154³ + 155³ + ... + 306³.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is not an unprimeable number, because it can be changed into a prime (2067482881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89890549 + ... + 89890571.

Almost surely, 2^2067482880 is an apocalyptic number.

2067482880 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 2067482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111432416).

2067482880 is an abundant number, since it is smaller than the sum of its proper divisors (6155381952).

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

2067482880 is an equidigital number, since it uses as much as digits as its factorization.

2067482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 2067482880 is about 45469.5819202244. The cubic root of 2067482880 is about 1273.9351108445.

It can be divided in two parts, 206748 and 2880, that added together give a triangular number (209628 = T₆₄₇).

The spelling of 2067482880 in words is "two billion, sixty-seven million, four hundred eighty-two thousand, eight hundred eighty".