2130402210432 has 256 divisors, whose sum is σ = 6038728848000. Its totient is φ = 663534305280.

The previous prime is 2130402210427. The next prime is 2130402210487. The reversal of 2130402210432 is 2340122040312.

It is a happy number.

It is a super-2 number, since 2×2130402210432² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273369928 + ... + 273377720.

Almost surely, 2^{2130402210432} 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 2130402210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019364424000).

2130402210432 is an abundant number, since it is smaller than the sum of its proper divisors (3908326637568).

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

2130402210432 is a wasteful number, since it uses less digits than its factorization.

2130402210432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8339 (or 8327 counting only the distinct ones).

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

Adding to 2130402210432 its reverse (2340122040312), we get a palindrome (4470524250744).

The spelling of 2130402210432 in words is "two trillion, one hundred thirty billion, four hundred two million, two hundred ten thousand, four hundred thirty-two".