2067024960 has 896 divisors, whose sum is σ = 9831628800. Its totient is φ = 394813440.

The previous prime is 2067024959. The next prime is 2067024961. The reversal of 2067024960 is 694207602.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2067024959) and next prime (2067024961).

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 (2067024961) 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 127 ways as a sum of consecutive naturals, for example, 8648521 + ... + 8648759.

It is an arithmetic number, because the mean of its divisors is an integer number (10972800).

Almost surely, 2^2067024960 is an apocalyptic number.

2067024960 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 2067024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915814400).

2067024960 is an abundant number, since it is smaller than the sum of its proper divisors (7764603840).

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

2067024960 is a wasteful number, since it uses less digits than its factorization.

2067024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2067024960 is about 45464.5461871116. The cubic root of 2067024960 is about 1273.8410506638.

The spelling of 2067024960 in words is "two billion, sixty-seven million, twenty-four thousand, nine hundred sixty".