2628004170 has 64 divisors (see below), whose sum is σ = 6943812480. Its totient is φ = 631238400.

The previous prime is 2628004147. The next prime is 2628004189. The reversal of 2628004170 is 714008262.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561 + ... + 72500.

It is an arithmetic number, because the mean of its divisors is an integer number (108497070).

Almost surely, 2^2628004170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2628004170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471906240).

2628004170 is an abundant number, since it is smaller than the sum of its proper divisors (4315808310).

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

2628004170 is a wasteful number, since it uses less digits than its factorization.

2628004170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73191.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2628004170 is about 51264.0631436877. The cubic root of 2628004170 is about 1379.9881273921.

The spelling of 2628004170 in words is "two billion, six hundred twenty-eight million, four thousand, one hundred seventy".