2001167952 has 160 divisors (see below), whose sum is σ = 6051993600. Its totient is φ = 558005760.

The previous prime is 2001167933. The next prime is 2001167957. The reversal of 2001167952 is 2597611002.

It is a super-2 number, since 2×2001167952² = 8009346344223748608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001167957) 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, 3340549 + ... + 3341147.

It is an arithmetic number, because the mean of its divisors is an integer number (37824960).

Almost surely, 2^2001167952 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 2001167952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025996800).

2001167952 is an abundant number, since it is smaller than the sum of its proper divisors (4050825648).

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

2001167952 is a wasteful number, since it uses less digits than its factorization.

2001167952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 2001167952 is about 44734.4157444802. The cubic root of 2001167952 is about 1260.1662567211.

Adding to 2001167952 its reverse (2597611002), we get a palindrome (4598778954).

The spelling of 2001167952 in words is "two billion, one million, one hundred sixty-seven thousand, nine hundred fifty-two".