2996588160 has 96 divisors (see below), whose sum is σ = 10347613380. Its totient is φ = 799088640.

The previous prime is 2996588141. The next prime is 2996588207. The reversal of 2996588160 is 618856992.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2744921664 + 251666496 = 52392^2 + 15864^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2996588097 and 2996588106.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 254361 + ... + 265880.

Almost surely, 2^2996588160 is an apocalyptic number.

2996588160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2996588160 is an abundant number, since it is smaller than the sum of its proper divisors (7351025220).

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

2996588160 is a wasteful number, since it uses less digits than its factorization.

2996588160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520266 (or 520251 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 2996588160 is about 54741.1011946234. The cubic root of 2996588160 is about 1441.7026157110.

The spelling of 2996588160 in words is "two billion, nine hundred ninety-six million, five hundred eighty-eight thousand, one hundred sixty".