2002624361472 has 264 divisors, whose sum is σ = 6222873777120. Its totient is φ = 570917437440.

The previous prime is 2002624361471. The next prime is 2002624361489. The reversal of 2002624361472 is 2741634262002.

It is a super-2 number, since 2×2002624361472² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2002624361472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002624361471) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 69378979 + ... + 69407837.

It is an arithmetic number, because the mean of its divisors is an integer number (23571491580).

Almost surely, 2^{2002624361472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002624361472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111436888560).

2002624361472 is an abundant number, since it is smaller than the sum of its proper divisors (4220249415648).

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

2002624361472 is a wasteful number, since it uses less digits than its factorization.

2002624361472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29357 (or 29332 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 2002624361472 in words is "two trillion, two billion, six hundred twenty-four million, three hundred sixty-one thousand, four hundred seventy-two".