2002484567160 has 1024 divisors, whose sum is σ = 8636261990400. Its totient is φ = 400532428800.

The previous prime is 2002484567147. The next prime is 2002484567179. The reversal of 2002484567160 is 617654842002.

2002484567160 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 4 + 84 + 567 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 507856149 + ... + 507860091.

It is an arithmetic number, because the mean of its divisors is an integer number (8433849600).

Almost surely, 2^{2002484567160} is an apocalyptic number.

2002484567160 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 2002484567160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318130995200).

2002484567160 is an abundant number, since it is smaller than the sum of its proper divisors (6633777423240).

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

2002484567160 is a wasteful number, since it uses less digits than its factorization.

2002484567160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2002484567160 in words is "two trillion, two billion, four hundred eighty-four million, five hundred sixty-seven thousand, one hundred sixty".