2130420240312 has 192 divisors, whose sum is σ = 6713136823680. Its totient is φ = 558421371648.

The previous prime is 2130420240257. The next prime is 2130420240331.

It is a happy number.

2130420240312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2064483 + ... + 2919405.

It is an arithmetic number, because the mean of its divisors is an integer number (34964254290).

Almost surely, 2^{2130420240312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130420240312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356568411840).

2130420240312 is an abundant number, since it is smaller than the sum of its proper divisors (4582716583368).

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

2130420240312 is a wasteful number, since it uses less digits than its factorization.

2130420240312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855122 (or 855111 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 2130420 and 240312, that added together give a palindrome (2370732).

The spelling of 2130420240312 in words is "two trillion, one hundred thirty billion, four hundred twenty million, two hundred forty thousand, three hundred twelve".