2002891924800 has 1176 divisors, whose sum is σ = 8304993279744. Its totient is φ = 471501803520.

The previous prime is 2002891924769. The next prime is 2002891924807. The reversal of 2002891924800 is 84291982002.

It is a happy number.

2002891924800 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 89 + 1 + 92 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002891924807) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 348750729 + ... + 348756471.

Almost surely, 2^{2002891924800} is an apocalyptic number.

2002891924800 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 2002891924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152496639872).

2002891924800 is an abundant number, since it is smaller than the sum of its proper divisors (6302101354944).

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

2002891924800 is a wasteful number, since it uses less digits than its factorization.

2002891924800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5819 (or 5789 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 2002891924800 in words is "two trillion, two billion, eight hundred ninety-one million, nine hundred twenty-four thousand, eight hundred".