2072567448 has 48 divisors (see below), whose sum is σ = 6415091280. Its totient is φ = 592161984.

The previous prime is 2072567429. The next prime is 2072567473. The reversal of 2072567448 is 8447652702.

It is a happy number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2055615 + ... + 2056622.

It is an arithmetic number, because the mean of its divisors is an integer number (133647735).

Almost surely, 2^2072567448 is an apocalyptic number.

2072567448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2072567448 is an abundant number, since it is smaller than the sum of its proper divisors (4342523832).

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

2072567448 is a wasteful number, since it uses less digits than its factorization.

2072567448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112256 (or 4112249 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 2072567448 is about 45525.4593387041. The cubic root of 2072567448 is about 1274.9785869530.

The spelling of 2072567448 in words is "two billion, seventy-two million, five hundred sixty-seven thousand, four hundred forty-eight".