2130421516416 has 128 divisors (see below), whose sum is σ = 6306363710400. Its totient is φ = 708032876544.

The previous prime is 2130421516409. The next prime is 2130421516417. The reversal of 2130421516416 is 6146151240312.

2130421516416 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 4 + 2 + 1 + 5 + 1 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2130421516417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250071 + ... + 2079273.

Almost surely, 2^{2130421516416} 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 2130421516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153181855200).

2130421516416 is an abundant number, since it is smaller than the sum of its proper divisors (4175942193984).

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

2130421516416 is a wasteful number, since it uses less digits than its factorization.

2130421516416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829563 (or 1829545 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 2130421516416 its reverse (6146151240312), we get a palindrome (8276572756728).

The spelling of 2130421516416 in words is "two trillion, one hundred thirty billion, four hundred twenty-one million, five hundred sixteen thousand, four hundred sixteen".