6002102820 has 96 divisors (see below), whose sum is σ = 19826343936. Its totient is φ = 1327651200.

The previous prime is 6002102779. The next prime is 6002102881. The reversal of 6002102820 is 282012006.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217476 + ... + 243515.

It is an arithmetic number, because the mean of its divisors is an integer number (206524416).

Almost surely, 2^6002102820 is an apocalyptic number.

6002102820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6002102820 is an abundant number, since it is smaller than the sum of its proper divisors (13824241116).

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

6002102820 is a wasteful number, since it uses less digits than its factorization.

6002102820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461041 (or 461039 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 6002102820 is about 77473.2393798013. The cubic root of 6002102820 is about 1817.3328501222.

Adding to 6002102820 its reverse (282012006), we get a palindrome (6284114826).

The spelling of 6002102820 in words is "six billion, two million, one hundred two thousand, eight hundred twenty".