2002396107600 has 720 divisors, whose sum is σ = 8249553661440. Its totient is φ = 456920870400.

The previous prime is 2002396107557. The next prime is 2002396107629. The reversal of 2002396107600 is 67016932002.

2002396107600 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 39 + 6 + 10 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 470154271 + ... + 470158529.

Almost surely, 2^{2002396107600} is an apocalyptic number.

2002396107600 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 2002396107600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124776830720).

2002396107600 is an abundant number, since it is smaller than the sum of its proper divisors (6247157553840).

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

2002396107600 is a wasteful number, since it uses less digits than its factorization.

2002396107600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 2002396107600 in words is "two trillion, two billion, three hundred ninety-six million, one hundred seven thousand, six hundred".