2001620448 has 144 divisors (see below), whose sum is σ = 5961664800. Its totient is φ = 635830272.

The previous prime is 2001620441. The next prime is 2001620479. The reversal of 2001620448 is 8440261002.

2001620448 is a `hidden beast` number, since 200 + 16 + 2 + 0 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001620441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2973840 + ... + 2974512.

It is an arithmetic number, because the mean of its divisors is an integer number (41400450).

Almost surely, 2^2001620448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001620448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980832400).

2001620448 is an abundant number, since it is smaller than the sum of its proper divisors (3960044352).

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

2001620448 is a wasteful number, since it uses less digits than its factorization.

2001620448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2001620448 is about 44739.4730411524. The cubic root of 2001620448 is about 1260.2612307947.

The spelling of 2001620448 in words is "two billion, one million, six hundred twenty thousand, four hundred forty-eight".