2938988160 has 96 divisors (see below), whose sum is σ = 10148713380. Its totient is φ = 783728640.

The previous prime is 2938988147. The next prime is 2938988219. The reversal of 2938988160 is 618898392.

It is a happy number.

2938988160 is a `hidden beast` number, since 29 + 389 + 88 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2460953664 + 478034496 = 49608^2 + 21864^2 .

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 = 2938988097 and 2938988106.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249361 + ... + 260880.

Almost surely, 2^2938988160 is an apocalyptic number.

2938988160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2938988160 is an abundant number, since it is smaller than the sum of its proper divisors (7209725220).

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

2938988160 is a wasteful number, since it uses less digits than its factorization.

2938988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510266 (or 510251 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 2938988160 is about 54212.4354737914. The cubic root of 2938988160 is about 1432.4053865127.

The spelling of 2938988160 in words is "two billion, nine hundred thirty-eight million, nine hundred eighty-eight thousand, one hundred sixty".