2002462828800 has 432 divisors, whose sum is σ = 7736853892992. Its totient is φ = 446541004800.

The previous prime is 2002462828777. The next prime is 2002462828831. The reversal of 2002462828800 is 88282642002.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5328702 + ... + 5692098.

Almost surely, 2^{2002462828800} is an apocalyptic number.

2002462828800 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 2002462828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868426946496).

2002462828800 is an abundant number, since it is smaller than the sum of its proper divisors (5734391064192).

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

2002462828800 is a wasteful number, since it uses less digits than its factorization.

2002462828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363474 (or 363455 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 2002462828800 in words is "two trillion, two billion, four hundred sixty-two million, eight hundred twenty-eight thousand, eight hundred".