2002313442240 has 280 divisors, whose sum is σ = 7315086870432. Its totient is φ = 519518914560.

The previous prime is 2002313442221. The next prime is 2002313442251. The reversal of 2002313442240 is 422443132002.

2002313442240 is a `hidden beast` number, since 2 + 0 + 0 + 231 + 3 + 4 + 422 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84876 + ... + 2002955.

Almost surely, 2^{2002313442240} is an apocalyptic number.

2002313442240 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 2002313442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657543435216).

2002313442240 is an abundant number, since it is smaller than the sum of its proper divisors (5312773428192).

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

2002313442240 is a wasteful number, since it uses less digits than its factorization.

2002313442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087897 (or 2087878 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2002313442240 its reverse (422443132002), we get a palindrome (2424756574242).

The spelling of 2002313442240 in words is "two trillion, two billion, three hundred thirteen million, four hundred forty-two thousand, two hundred forty".