2179008470016 has 880 divisors, whose sum is σ = 7761123532800. Its totient is φ = 595787415552.

The previous prime is 2179008469993. The next prime is 2179008470053. The reversal of 2179008470016 is 6100748009712.

It is a happy number.

2179008470016 is a `hidden beast` number, since 2 + 179 + 0 + 0 + 8 + 470 + 0 + 1 + 6 = 666.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 2138378755 + ... + 2138379773.

It is an arithmetic number, because the mean of its divisors is an integer number (8819458560).

Almost surely, 2^{2179008470016} 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 2179008470016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880561766400).

2179008470016 is an abundant number, since it is smaller than the sum of its proper divisors (5582115062784).

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

2179008470016 is a wasteful number, since it uses less digits than its factorization.

2179008470016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 2179008470016 in words is "two trillion, one hundred seventy-nine billion, eight million, four hundred seventy thousand, sixteen".