2870223672960 has 1280 divisors, whose sum is σ = 12382916198400. Its totient is φ = 618904903680.

The previous prime is 2870223672907. The next prime is 2870223672977. The reversal of 2870223672960 is 692763220782.

2870223672960 is a `hidden beast` number, since 2 + 8 + 70 + 223 + 67 + 296 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2870223672897 and 2870223672906.

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 159 ways as a sum of consecutive naturals, for example, 1951205025 + ... + 1951206495.

It is an arithmetic number, because the mean of its divisors is an integer number (9674153280).

Almost surely, 2^{2870223672960} is an apocalyptic number.

2870223672960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2870223672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191458099200).

2870223672960 is an abundant number, since it is smaller than the sum of its proper divisors (9512692525440).

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

2870223672960 is a wasteful number, since it uses less digits than its factorization.

2870223672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 2870223672960 in words is "two trillion, eight hundred seventy billion, two hundred twenty-three million, six hundred seventy-two thousand, nine hundred sixty".