2938029120 has 336 divisors, whose sum is σ = 11008735920. Its totient is φ = 714866688.

The previous prime is 2938029089. The next prime is 2938029139. The reversal of 2938029120 is 219208392.

2938029120 is a `hidden beast` number, since 293 + 80 + 291 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16842816 + 2921186304 = 4104^2 + 54048^2 .

It is a super-3 number, since 3×2938029120³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3631276 + ... + 3632084.

It is an arithmetic number, because the mean of its divisors is an integer number (32764095).

Almost surely, 2^2938029120 is an apocalyptic number.

2938029120 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 2938029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504367960).

2938029120 is an abundant number, since it is smaller than the sum of its proper divisors (8070706800).

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

2938029120 is a wasteful number, since it uses less digits than its factorization.

2938029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2938029120 is about 54203.5895490326. The cubic root of 2938029120 is about 1432.2495637784.

The spelling of 2938029120 in words is "two billion, nine hundred thirty-eight million, twenty-nine thousand, one hundred twenty".