2001464600 has 96 divisors (see below), whose sum is σ = 4877500320. Its totient is φ = 762347520.

The previous prime is 2001464567. The next prime is 2001464671. The reversal of 2001464600 is 64641002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1181354 + ... + 1183046.

It is an arithmetic number, because the mean of its divisors is an integer number (50807295).

Almost surely, 2^2001464600 is an apocalyptic number.

2001464600 is a gapful number since it is divisible by the number (20) 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 2001464600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438750160).

2001464600 is an abundant number, since it is smaller than the sum of its proper divisors (2876035720).

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

2001464600 is a wasteful number, since it uses less digits than its factorization.

2001464600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2001464600 is about 44737.7312790892. The cubic root of 2001464600 is about 1260.2285215815.

The spelling of 2001464600 in words is "two billion, one million, four hundred sixty-four thousand, six hundred".