2001643464 has 256 divisors, whose sum is σ = 5778432000. Its totient is φ = 574801920.

The previous prime is 2001643459. The next prime is 2001643489. The reversal of 2001643464 is 4643461002.

It is a super-3 number, since 3×2001643464³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22490332 + ... + 22490420.

It is an arithmetic number, because the mean of its divisors is an integer number (22572000).

Almost surely, 2^2001643464 is an apocalyptic number.

2001643464 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 2001643464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889216000).

2001643464 is an abundant number, since it is smaller than the sum of its proper divisors (3776788536).

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

2001643464 is a wasteful number, since it uses less digits than its factorization.

2001643464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2001643464 is about 44739.7302629330. The cubic root of 2001643464 is about 1260.2660612246.

The spelling of 2001643464 in words is "two billion, one million, six hundred forty-three thousand, four hundred sixty-four".