2152552512 has 224 divisors, whose sum is σ = 6636349440. Its totient is φ = 608542720.

The previous prime is 2152552499. The next prime is 2152552513.

2152552512 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2152552512.

It is not an unprimeable number, because it can be changed into a prime (2152552513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5995789 + ... + 5996147.

It is an arithmetic number, because the mean of its divisors is an integer number (29626560).

Almost surely, 2^2152552512 is an apocalyptic number.

2152552512 is a gapful number since it is divisible by the number (22) 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 2152552512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318174720).

2152552512 is an abundant number, since it is smaller than the sum of its proper divisors (4483796928).

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

2152552512 is a wasteful number, since it uses less digits than its factorization.

2152552512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 559 counting only the distinct ones).

The product of its digits is 10000, while the sum is 30.

The square root of 2152552512 is about 46395.6087577262. The cubic root of 2152552512 is about 1291.1734434053.

The spelling of 2152552512 in words is "two billion, one hundred fifty-two million, five hundred fifty-two thousand, five hundred twelve".