2152567872 has 448 divisors, whose sum is σ = 7931302400. Its totient is φ = 567710208.

The previous prime is 2152567871. The next prime is 2152567873. The reversal of 2152567872 is 2787652512.

2152567872 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 567 + 87 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2152567871) and next prime (2152567873).

It is a tau number, because it is divible by the number of its divisors (448).

Its product of digits (470400) is a multiple of the sum of its prime divisors (25).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (2152567871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165582138 + ... + 165582150.

It is an arithmetic number, because the mean of its divisors is an integer number (17703800).

It is a vampire number, since it can be written as 25272 ⋅ 85176 (with its own digits).

Almost surely, 2^2152567872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2152567872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965651200).

2152567872 is an abundant number, since it is smaller than the sum of its proper divisors (5778734528).

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

2152567872 is an frugal number, since it uses more digits than its factorization.

2152567872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 25 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 2152567872 is about 46395.7742903381. The cubic root of 2152567872 is about 1291.1765145464.

The spelling of 2152567872 in words is "two billion, one hundred fifty-two million, five hundred sixty-seven thousand, eight hundred seventy-two".