2002401664 has 32 divisors (see below), whose sum is σ = 4048716600. Its totient is φ = 986253312.

The previous prime is 2002401647. The next prime is 2002401673. The reversal of 2002401664 is 4661042002.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2002401664² = 8019224847979937792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108169 + ... + 125320.

Almost surely, 2^2002401664 is an apocalyptic number.

It is an amenable number.

2002401664 is an abundant number, since it is smaller than the sum of its proper divisors (2046314936).

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

2002401664 is an equidigital number, since it uses as much as digits as its factorization.

2002401664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233570 (or 233558 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2002401664 is about 44748.2029136367. The cubic root of 2002401664 is about 1260.4251660005.

Adding to 2002401664 its reverse (4661042002), we get a palindrome (6663443666).

The spelling of 2002401664 in words is "two billion, two million, four hundred one thousand, six hundred sixty-four".