2004261168 has 160 divisors (see below), whose sum is σ = 6424477696. Its totient is φ = 524289024.

The previous prime is 2004261167. The next prime is 2004261169. The reversal of 2004261168 is 8611624002.

It is an interprime number because it is at equal distance from previous prime (2004261167) and next prime (2004261169).

It is not an unprimeable number, because it can be changed into a prime (2004261163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 552930 + ... + 556542.

Almost surely, 2^2004261168 is an apocalyptic number.

2004261168 is a gapful number since it is divisible by the number (28) 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 2004261168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212238848).

2004261168 is an abundant number, since it is smaller than the sum of its proper divisors (4420216528).

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

2004261168 is a wasteful number, since it uses less digits than its factorization.

2004261168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2004261168 is about 44768.9755075990. The cubic root of 2004261168 is about 1260.8152043815.

The spelling of 2004261168 in words is "two billion, four million, two hundred sixty-one thousand, one hundred sixty-eight".