2002413166908 has 144 divisors (see below), whose sum is σ = 5899749085440. Its totient is φ = 517411952640.

The previous prime is 2002413166849. The next prime is 2002413166909. The reversal of 2002413166908 is 8096613142002.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2002413166908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002413166909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1451263 + ... + 2472041.

It is an arithmetic number, because the mean of its divisors is an integer number (40970479760).

Almost surely, 2^{2002413166908} is an apocalyptic number.

2002413166908 is a gapful number since it is divisible by the number (28) 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 2002413166908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949874542720).

2002413166908 is an abundant number, since it is smaller than the sum of its proper divisors (3897335918532).

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

2002413166908 is a wasteful number, since it uses less digits than its factorization.

2002413166908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021008 (or 1020995 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 2002413166908 in words is "two trillion, two billion, four hundred thirteen million, one hundred sixty-six thousand, nine hundred eight".