2001667464 has 120 divisors (see below), whose sum is σ = 5808098010. Its totient is φ = 644039424.

The previous prime is 2001667457. The next prime is 2001667523. The reversal of 2001667464 is 4647661002.

It can be written as a sum of positive squares in 3 ways, for example, as 1302488100 + 699179364 = 36090^2 + 26442^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 543132 + ... + 546804.

Almost surely, 2^2001667464 is an apocalyptic number.

2001667464 is a gapful number since it is divisible by the number (24) 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 2001667464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904049005).

2001667464 is an abundant number, since it is smaller than the sum of its proper divisors (3806430546).

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

2001667464 is a wasteful number, since it uses less digits than its factorization.

2001667464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2001667464 is about 44739.9984801073. The cubic root of 2001667464 is about 1260.2710981297.

The spelling of 2001667464 in words is "two billion, one million, six hundred sixty-seven thousand, four hundred sixty-four".