2002290240 has 224 divisors, whose sum is σ = 6554419200. Its totient is φ = 517625856.

The previous prime is 2002290163. The next prime is 2002290259. The reversal of 2002290240 is 420922002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8978769 + ... + 8978991.

It is an arithmetic number, because the mean of its divisors is an integer number (29260800).

Almost surely, 2^2002290240 is an apocalyptic number.

2002290240 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 2002290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277209600).

2002290240 is an abundant number, since it is smaller than the sum of its proper divisors (4552128960).

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

2002290240 is a wasteful number, since it uses less digits than its factorization.

2002290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2002290240 is about 44746.9578854250. The cubic root of 2002290240 is about 1260.4017867053.

The spelling of 2002290240 in words is "two billion, two million, two hundred ninety thousand, two hundred forty".