2001134144 has 56 divisors (see below), whose sum is σ = 4073761728. Its totient is φ = 974937600.

The previous prime is 2001134143. The next prime is 2001134167. The reversal of 2001134144 is 4414311002.

It is a super-2 number, since 2×2001134144² = 8009075724565225472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2001134143) 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, 510239 + ... + 514145.

Almost surely, 2^2001134144 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 2001134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036880864).

2001134144 is an abundant number, since it is smaller than the sum of its proper divisors (2072627584).

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

2001134144 is a wasteful number, since it uses less digits than its factorization.

2001134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4123 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2001134144 is about 44734.0378682721. The cubic root of 2001134144 is about 1260.1591602085.

Adding to 2001134144 its reverse (4414311002), we get a palindrome (6415445146).

The spelling of 2001134144 in words is "two billion, one million, one hundred thirty-four thousand, one hundred forty-four".