2151030004416 has 168 divisors, whose sum is σ = 6300879041600. Its totient is φ = 701437501440.

The previous prime is 2151030004411. The next prime is 2151030004469. The reversal of 2151030004416 is 6144000301512.

It is a happy number.

2151030004416 is a `hidden beast` number, since 215 + 1 + 0 + 3 + 0 + 0 + 0 + 441 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2151030004416.

It is not an unprimeable number, because it can be changed into a prime (2151030004411) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4743096 + ... + 5176776.

Almost surely, 2^{2151030004416} 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 2151030004416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150439520800).

2151030004416 is an abundant number, since it is smaller than the sum of its proper divisors (4149849037184).

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

2151030004416 is a wasteful number, since it uses less digits than its factorization.

2151030004416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433887 (or 433874 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 2151030004416 its reverse (6144000301512), we get a palindrome (8295030305928).

The spelling of 2151030004416 in words is "two trillion, one hundred fifty-one billion, thirty million, four thousand, four hundred sixteen".