2079467520 has 384 divisors, whose sum is σ = 7396945920. Its totient is φ = 495452160.

The previous prime is 2079467501. The next prime is 2079467527. The reversal of 2079467520 is 257649702.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2079467527) 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 31 ways as a sum of consecutive naturals, for example, 16373697 + ... + 16373823.

It is an arithmetic number, because the mean of its divisors is an integer number (19262880).

Almost surely, 2^2079467520 is an apocalyptic number.

2079467520 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 2079467520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698472960).

2079467520 is an abundant number, since it is smaller than the sum of its proper divisors (5317478400).

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

2079467520 is a wasteful number, since it uses less digits than its factorization.

2079467520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 2079467520 is about 45601.1789321285. The cubic root of 2079467520 is about 1276.3919224021.

The spelling of 2079467520 in words is "two billion, seventy-nine million, four hundred sixty-seven thousand, five hundred twenty".