2001157184 has 56 divisors (see below), whose sum is σ = 4291629720. Its totient is φ = 920346624.

The previous prime is 2001157133. The next prime is 2001157187. The reversal of 2001157184 is 4817511002.

It can be written as a sum of positive squares in 4 ways, for example, as 89718784 + 1911438400 = 9472^2 + 43720^2 .

It is not an unprimeable number, because it can be changed into a prime (2001157187) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239672 + ... + 247880.

It is an arithmetic number, because the mean of its divisors is an integer number (76636245).

Almost surely, 2^2001157184 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 2001157184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145814860).

2001157184 is an abundant number, since it is smaller than the sum of its proper divisors (2290472536).

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

2001157184 is a wasteful number, since it uses less digits than its factorization.

2001157184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8527 (or 8517 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 29.

The square root of 2001157184 is about 44734.2953895554. The cubic root of 2001157184 is about 1260.1639964586.

Adding to 2001157184 its reverse (4817511002), we get a palindrome (6818668186).

The spelling of 2001157184 in words is "two billion, one million, one hundred fifty-seven thousand, one hundred eighty-four".