2104262160 has 640 divisors, whose sum is σ = 9239408640. Its totient is φ = 381542400.

The previous prime is 2104262143. The next prime is 2104262177. The reversal of 2104262160 is 612624012.

It is an interprime number because it is at equal distance from previous prime (2104262143) and next prime (2104262177).

It is a super-3 number, since 3×2104262160³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2104262160.

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 127 ways as a sum of consecutive naturals, for example, 4564330 + ... + 4564790.

It is an arithmetic number, because the mean of its divisors is an integer number (14436576).

Almost surely, 2^2104262160 is an apocalyptic number.

2104262160 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 2104262160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619704320).

2104262160 is an abundant number, since it is smaller than the sum of its proper divisors (7135146480).

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

2104262160 is a wasteful number, since it uses less digits than its factorization.

2104262160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2104262160 is about 45872.2373555073. The cubic root of 2104262160 is about 1281.4449340209. Note that the first 3 decimals are identical.

Adding to 2104262160 its reverse (612624012), we get a palindrome (2716886172).

The spelling of 2104262160 in words is "two billion, one hundred four million, two hundred sixty-two thousand, one hundred sixty".