2002281120 has 432 divisors, whose sum is σ = 8250566688. Its totient is φ = 457228800.

The previous prime is 2002281109. The next prime is 2002281137. The reversal of 2002281120 is 211822002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2002281093 and 2002281102.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1904595 + ... + 1905645.

It is an arithmetic number, because the mean of its divisors is an integer number (19098534).

Almost surely, 2^2002281120 is an apocalyptic number.

2002281120 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 2002281120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4125283344).

2002281120 is an abundant number, since it is smaller than the sum of its proper divisors (6248285568).

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

2002281120 is a wasteful number, since it uses less digits than its factorization.

2002281120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2002281120 is about 44746.8559789400. The cubic root of 2002281120 is about 1260.3998730830.

The spelling of 2002281120 in words is "two billion, two million, two hundred eighty-one thousand, one hundred twenty".