2002880000 has 200 divisors, whose sum is σ = 5464906920. Its totient is φ = 727040000.

The previous prime is 2002879999. The next prime is 2002880063. The reversal of 2002880000 is 882002.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3519716 + ... + 3520284.

Almost surely, 2^2002880000 is an apocalyptic number.

2002880000 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 2002880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732453460).

2002880000 is an abundant number, since it is smaller than the sum of its proper divisors (3462026920).

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

2002880000 is an frugal number, since it uses more digits than its factorization.

2002880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 2002880000 is about 44753.5473454340. The cubic root of 2002880000 is about 1260.5255219450.

It can be divided in two parts, 200 and 2880000, that multiplied together give a square (576000000 = 24000²).

The spelling of 2002880000 in words is "two billion, two million, eight hundred eighty thousand".