2001151264 has 96 divisors (see below), whose sum is σ = 4686595200. Its totient is φ = 822958080.

The previous prime is 2001151241. The next prime is 2001151301. The reversal of 2001151264 is 4621511002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1161924 + ... + 1163644.

It is an arithmetic number, because the mean of its divisors is an integer number (48818700).

Almost surely, 2^2001151264 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 2001151264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343297600).

2001151264 is an abundant number, since it is smaller than the sum of its proper divisors (2685443936).

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

2001151264 is a wasteful number, since it uses less digits than its factorization.

2001151264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 2001151264 is about 44734.2292210339. The cubic root of 2001151264 is about 1260.1627538146.

Adding to 2001151264 its reverse (4621511002), we get a palindrome (6622662266).

The spelling of 2001151264 in words is "two billion, one million, one hundred fifty-one thousand, two hundred sixty-four".