2001406600 has 48 divisors (see below), whose sum is σ = 4927000500. Its totient is φ = 753469440.

The previous prime is 2001406567. The next prime is 2001406633. The reversal of 2001406600 is 66041002.

It is an interprime number because it is at equal distance from previous prime (2001406567) and next prime (2001406633).

It can be written as a sum of positive squares in 6 ways, for example, as 603095364 + 1398311236 = 24558^2 + 37394^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 290925 + ... + 297724.

Almost surely, 2^2001406600 is an apocalyptic number.

2001406600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001406600 is an abundant number, since it is smaller than the sum of its proper divisors (2925593900).

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

2001406600 is a wasteful number, since it uses less digits than its factorization.

2001406600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588682 (or 588673 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2001406600 is about 44737.0830519827. The cubic root of 2001406600 is about 1260.2163481694.

Adding to 2001406600 its reverse (66041002), we get a palindrome (2067447602).

The spelling of 2001406600 in words is "two billion, one million, four hundred six thousand, six hundred".