2605224160 has 288 divisors, whose sum is σ = 8274698208. Its totient is φ = 763822080.

The previous prime is 2605224133. The next prime is 2605224161. The reversal of 2605224160 is 614225062.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2605224161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1465192 + ... + 1466968.

It is an arithmetic number, because the mean of its divisors is an integer number (28731591).

Almost surely, 2^2605224160 is an apocalyptic number.

2605224160 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 2605224160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137349104).

2605224160 is an abundant number, since it is smaller than the sum of its proper divisors (5669474048).

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

2605224160 is a wasteful number, since it uses less digits than its factorization.

2605224160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2605224160 is about 51041.3965326185. The cubic root of 2605224160 is about 1375.9892226937.

The spelling of 2605224160 in words is "two billion, six hundred five million, two hundred twenty-four thousand, one hundred sixty".