2130004120410 has 192 divisors, whose sum is σ = 5840407800864. Its totient is φ = 537875251200.

The previous prime is 2130004120403. The next prime is 2130004120421. The reversal of 2130004120410 is 140214000312.

2130004120410 is a `hidden beast` number, since 2 + 130 + 0 + 0 + 4 + 120 + 410 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 65836888569 + 2064167231841 = 256587^2 + 1436721^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57460602 + ... + 57497658.

Almost surely, 2^{2130004120410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130004120410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920203900432).

2130004120410 is an abundant number, since it is smaller than the sum of its proper divisors (3710403680454).

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

2130004120410 is a wasteful number, since it uses less digits than its factorization.

2130004120410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37569 (or 37566 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2130004120410 its reverse (140214000312), we get a palindrome (2270218120722).

The spelling of 2130004120410 in words is "two trillion, one hundred thirty billion, four million, one hundred twenty thousand, four hundred ten".