2628171360 has 288 divisors, whose sum is σ = 9708491520. Its totient is φ = 670146048.

The previous prime is 2628171341. The next prime is 2628171379. The reversal of 2628171360 is 631718262.

2628171360 is a `hidden beast` number, since 2 + 628 + 17 + 13 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2628171341) and next prime (2628171379).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 892771 + ... + 895709.

It is an arithmetic number, because the mean of its divisors is an integer number (33710040).

Almost surely, 2^2628171360 is an apocalyptic number.

2628171360 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 2628171360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854245760).

2628171360 is an abundant number, since it is smaller than the sum of its proper divisors (7080320160).

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

2628171360 is a wasteful number, since it uses less digits than its factorization.

2628171360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2628171360 is about 51265.6937922428. The cubic root of 2628171360 is about 1380.0173910852.

The spelling of 2628171360 in words is "two billion, six hundred twenty-eight million, one hundred seventy-one thousand, three hundred sixty".