2152003405002 has 128 divisors (see below), whose sum is σ = 4894424663040. Its totient is φ = 625102410240.

The previous prime is 2152003404931. The next prime is 2152003405003. The reversal of 2152003405002 is 2005043002512.

It is a super-3 number, since 3×2152003405002³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2152003405003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51128238 + ... + 51170310.

It is an arithmetic number, because the mean of its divisors is an integer number (38237692680).

Almost surely, 2^{2152003405002} is an apocalyptic number.

2152003405002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2152003405002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447212331520).

2152003405002 is an abundant number, since it is smaller than the sum of its proper divisors (2742421258038).

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

2152003405002 is a wasteful number, since it uses less digits than its factorization.

2152003405002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42468.

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 2152003405002 its reverse (2005043002512), we get a palindrome (4157046407514).

The spelling of 2152003405002 in words is "two trillion, one hundred fifty-two billion, three million, four hundred five thousand, two".