2478646170 has 384 divisors, whose sum is σ = 8982005760. Its totient is φ = 474958080.

The previous prime is 2478646147. The next prime is 2478646171. The reversal of 2478646170 is 716468742.

2478646170 is a `hidden beast` number, since 2 + 47 + 86 + 461 + 70 = 666.

It is a super-2 number, since 2×2478646170² = 12287373672111337800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2478646171) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 2431921 + ... + 2432939.

It is an arithmetic number, because the mean of its divisors is an integer number (23390640).

Almost surely, 2^2478646170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2478646170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491002880).

2478646170 is an abundant number, since it is smaller than the sum of its proper divisors (6503359590).

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

2478646170 is a wasteful number, since it uses less digits than its factorization.

2478646170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2478646170 is about 49786.0037560759. The cubic root of 2478646170 is about 1353.3335395315. Note that the first 3 decimals are identical.

The spelling of 2478646170 in words is "two billion, four hundred seventy-eight million, six hundred forty-six thousand, one hundred seventy".