2001287408 has 120 divisors (see below), whose sum is σ = 4262435520. Its totient is φ = 909342720.

The previous prime is 2001287383. The next prime is 2001287441. The reversal of 2001287408 is 8047821002.

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, 25332713 + ... + 25332791.

It is an arithmetic number, because the mean of its divisors is an integer number (35520296).

Almost surely, 2^2001287408 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 2001287408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131217760).

2001287408 is an abundant number, since it is smaller than the sum of its proper divisors (2261148112).

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

2001287408 is a wasteful number, since it uses less digits than its factorization.

2001287408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 2001287408 is about 44735.7508934409. The cubic root of 2001287408 is about 1260.1913306494.

The spelling of 2001287408 in words is "two billion, one million, two hundred eighty-seven thousand, four hundred eight".