2067688224 has 288 divisors, whose sum is σ = 7384366080. Its totient is φ = 535113216.

The previous prime is 2067688219. The next prime is 2067688237. The reversal of 2067688224 is 4228867602.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 2067688224.

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 47 ways as a sum of consecutive naturals, for example, 879819 + ... + 882165.

It is an arithmetic number, because the mean of its divisors is an integer number (25640160).

Almost surely, 2^2067688224 is an apocalyptic number.

2067688224 is a gapful number since it is divisible by the number (24) 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 2067688224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692183040).

2067688224 is an abundant number, since it is smaller than the sum of its proper divisors (5316677856).

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

2067688224 is a wasteful number, since it uses less digits than its factorization.

2067688224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2067688224 is about 45471.8399011960. The cubic root of 2067688224 is about 1273.9772855221.

It can be divided in two parts, 20676 and 88224, that added together give a square (108900 = 330²).

The spelling of 2067688224 in words is "two billion, sixty-seven million, six hundred eighty-eight thousand, two hundred twenty-four".