2004751164 has 96 divisors (see below), whose sum is σ = 5108995584. Its totient is φ = 608175360.

The previous prime is 2004751159. The next prime is 2004751169. The reversal of 2004751164 is 4611574002.

It is an interprime number because it is at equal distance from previous prime (2004751159) and next prime (2004751169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004751169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5374482 + ... + 5374854.

It is an arithmetic number, because the mean of its divisors is an integer number (53218704).

Almost surely, 2^2004751164 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 2004751164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554497792).

2004751164 is an abundant number, since it is smaller than the sum of its proper divisors (3104244420).

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

2004751164 is a wasteful number, since it uses less digits than its factorization.

2004751164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2004751164 is about 44774.4476682851. The cubic root of 2004751164 is about 1260.9179428333.

The spelling of 2004751164 in words is "two billion, four million, seven hundred fifty-one thousand, one hundred sixty-four".