2605532160 has 352 divisors, whose sum is σ = 10394698752. Its totient is φ = 541163520.

The previous prime is 2605532159. The next prime is 2605532177. The reversal of 2605532160 is 612355062.

It is a tau number, because it is divible by the number of its divisors (352).

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1181619 + ... + 1183821.

Almost surely, 2^2605532160 is an apocalyptic number.

2605532160 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 2605532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197349376).

2605532160 is an abundant number, since it is smaller than the sum of its proper divisors (7789166592).

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

2605532160 is a wasteful number, since it uses less digits than its factorization.

2605532160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2605532160 is about 51044.4136022739. The cubic root of 2605532160 is about 1376.0434455365.

The spelling of 2605532160 in words is "two billion, six hundred five million, five hundred thirty-two thousand, one hundred sixty".