2938628160 has 896 divisors, whose sum is σ = 12596774400. Its totient is φ = 644972544.

The previous prime is 2938628131. The next prime is 2938628183. The reversal of 2938628160 is 618268392.

2938628160 is a `hidden beast` number, since 2 + 9 + 3 + 8 + 628 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 154664631 + ... + 154664649.

It is an arithmetic number, because the mean of its divisors is an integer number (14058900).

Almost surely, 2^2938628160 is an apocalyptic number.

2938628160 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 2938628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6298387200).

2938628160 is an abundant number, since it is smaller than the sum of its proper divisors (9658146240).

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

2938628160 is a wasteful number, since it uses less digits than its factorization.

2938628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2938628160 is about 54209.1151006913. The cubic root of 2938628160 is about 1432.3468984699.

The spelling of 2938628160 in words is "two billion, nine hundred thirty-eight million, six hundred twenty-eight thousand, one hundred sixty".