2130615343584 has 768 divisors, whose sum is σ = 7745455872000. Its totient is φ = 554835640320.

The previous prime is 2130615343579. The next prime is 2130615343589. The reversal of 2130615343584 is 4853435160312.

2130615343584 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 6 + 1 + 534 + 35 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (2130615343579) and next prime (2130615343589).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130615343589) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2770630752 + ... + 2770631520.

It is an arithmetic number, because the mean of its divisors is an integer number (10085229000).

Almost surely, 2^{2130615343584} is an apocalyptic number.

2130615343584 is a gapful number since it is divisible by the number (24) 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 2130615343584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872727936000).

2130615343584 is an abundant number, since it is smaller than the sum of its proper divisors (5614840528416).

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

2130615343584 is a wasteful number, since it uses less digits than its factorization.

2130615343584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2130615343584 in words is "two trillion, one hundred thirty billion, six hundred fifteen million, three hundred forty-three thousand, five hundred eighty-four".