2002164351552 has 168 divisors, whose sum is σ = 5903063063040. Its totient is φ = 648453012480.

The previous prime is 2002164351497. The next prime is 2002164351571. The reversal of 2002164351552 is 2551534612002.

2002164351552 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 1 + 643 + 5 + 1 + 5 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4519074 + ... + 4942302.

Almost surely, 2^{2002164351552} 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 2002164351552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951531531520).

2002164351552 is an abundant number, since it is smaller than the sum of its proper divisors (3900898711488).

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

2002164351552 is a wasteful number, since it uses less digits than its factorization.

2002164351552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423481 (or 423468 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 2002164351552 its reverse (2551534612002), we get a palindrome (4553698963554).

The spelling of 2002164351552 in words is "two trillion, two billion, one hundred sixty-four million, three hundred fifty-one thousand, five hundred fifty-two".