2130210343040 has 256 divisors, whose sum is σ = 5614164864000. Its totient is φ = 767988891648.

The previous prime is 2130210343021. The next prime is 2130210343057. The reversal of 2130210343040 is 403430120312.

It is a super-2 number, since 2×2130210343040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2130210342997 and 2130210343015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171660356 + ... + 171672764.

It is an arithmetic number, because the mean of its divisors is an integer number (21930331500).

Almost surely, 2^{2130210343040} is an apocalyptic number.

2130210343040 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 2130210343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807082432000).

2130210343040 is an abundant number, since it is smaller than the sum of its proper divisors (3483954520960).

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

2130210343040 is a wasteful number, since it uses less digits than its factorization.

2130210343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12927 (or 12915 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2130210343040 its reverse (403430120312), we get a palindrome (2533640463352).

The spelling of 2130210343040 in words is "two trillion, one hundred thirty billion, two hundred ten million, three hundred forty-three thousand, forty".