2002121576 has 96 divisors (see below), whose sum is σ = 4783212000. Its totient is φ = 778506624.

The previous prime is 2002121573. The next prime is 2002121593. The reversal of 2002121576 is 6751212002.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (2002121573) 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 23 ways as a sum of consecutive naturals, for example, 297335 + ... + 303993.

It is an arithmetic number, because the mean of its divisors is an integer number (49825125).

Almost surely, 2^2002121576 is an apocalyptic number.

2002121576 is a gapful number since it is divisible by the number (26) 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 2002121576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391606000).

2002121576 is an abundant number, since it is smaller than the sum of its proper divisors (2781090424).

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

2002121576 is a wasteful number, since it uses less digits than its factorization.

2002121576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6751 (or 6740 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 2002121576 is about 44745.0732036500. The cubic root of 2002121576 is about 1260.3663955031.

Adding to 2002121576 its reverse (6751212002), we get a palindrome (8753333578).

The spelling of 2002121576 in words is "two billion, two million, one hundred twenty-one thousand, five hundred seventy-six".