2001667600 has 45 divisors (see below), whose sum is σ = 4811157127. Its totient is φ = 800309120.

The previous prime is 2001667543. The next prime is 2001667643. The reversal of 2001667600 is 67661002.

The square root of 2001667600 is 44740.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 60031504 + 1941636096 = 7748^2 + 44064^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 893682 + ... + 895918.

Almost surely, 2^2001667600 is an apocalyptic number.

2001667600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2001667600 is the 44740-th square number.

It is an amenable number.

2001667600 is an abundant number, since it is smaller than the sum of its proper divisors (2809489527).

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

2001667600 is an frugal number, since it uses more digits than its factorization.

2001667600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4492 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The cubic root of 2001667600 is about 1260.2711266720.

It can be divided in two parts, 20016 and 67600, that added together give a square (87616 = 296²).

The spelling of 2001667600 in words is "two billion, one million, six hundred sixty-seven thousand, six hundred".