2002460680900 has 72 divisors (see below), whose sum is σ = 4402950068160. Its totient is φ = 790387923840.

The previous prime is 2002460680861. The next prime is 2002460680939. The reversal of 2002460680900 is 90860642002.

It is an interprime number because it is at equal distance from previous prime (2002460680861) and next prime (2002460680939).

It is a self number, because there is not a number n which added to its sum of digits gives 2002460680900.

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, 6819922 + ... + 7107478.

It is an arithmetic number, because the mean of its divisors is an integer number (61152084280).

Almost surely, 2^{2002460680900} is an apocalyptic number.

2002460680900 is a gapful number since it is divisible by the number (20) 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 2002460680900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201475034080).

2002460680900 is an abundant number, since it is smaller than the sum of its proper divisors (2400489387260).

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

2002460680900 is a wasteful number, since it uses less digits than its factorization.

2002460680900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288493 (or 288486 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 2002460680900 in words is "two trillion, two billion, four hundred sixty million, six hundred eighty thousand, nine hundred".