2002840000 has 280 divisors, whose sum is σ = 5941698048. Its totient is φ = 654720000.

The previous prime is 2002839941. The next prime is 2002840001. The reversal of 2002840000 is 482002.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×2002840000² = 8022736131200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002840001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6439845 + ... + 6440155.

Almost surely, 2^2002840000 is an apocalyptic number.

2002840000 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 2002840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970849024).

2002840000 is an abundant number, since it is smaller than the sum of its proper divisors (3938858048).

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

2002840000 is an equidigital number, since it uses as much as digits as its factorization.

2002840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2002840000 is about 44753.1004512537. The cubic root of 2002840000 is about 1260.5171304693.

The spelling of 2002840000 in words is "two billion, two million, eight hundred forty thousand".