2130444202432 has 112 divisors (see below), whose sum is σ = 5205344488960. Its totient is φ = 842465774592.

The previous prime is 2130444202409. The next prime is 2130444202493. The reversal of 2130444202432 is 2342024440312.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2130444202432² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2130444202394 and 2130444202403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14293669 + ... + 14441947.

It is an arithmetic number, because the mean of its divisors is an integer number (46476290080).

Almost surely, 2^{2130444202432} 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 2130444202432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602672244480).

2130444202432 is an abundant number, since it is smaller than the sum of its proper divisors (3074900286528).

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

2130444202432 is a wasteful number, since it uses less digits than its factorization.

2130444202432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150778 (or 150768 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 2130444202432 its reverse (2342024440312), we get a palindrome (4472468642744).

The spelling of 2130444202432 in words is "two trillion, one hundred thirty billion, four hundred forty-four million, two hundred two thousand, four hundred thirty-two".