2002440000 has 560 divisors, whose sum is σ = 7598517696. Its totient is φ = 460800000.

The previous prime is 2002439993. The next prime is 2002440017. The reversal of 2002440000 is 442002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 48839980 + ... + 48840020.

Almost surely, 2^2002440000 is an apocalyptic number.

2002440000 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 2002440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799258848).

2002440000 is an abundant number, since it is smaller than the sum of its proper divisors (5596077696).

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

2002440000 is a wasteful number, since it uses less digits than its factorization.

2002440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2002440000 is about 44748.6312639839. The cubic root of 2002440000 is about 1260.4332095667.

Adding to 2002440000 its reverse (442002), we get a palindrome (2002882002).

The spelling of 2002440000 in words is "two billion, two million, four hundred forty thousand".