2938206208 has 288 divisors, whose sum is σ = 7618665600. Its totient is φ = 1124057088.

The previous prime is 2938206181. The next prime is 2938206241. The reversal of 2938206208 is 8026028392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43853791 + ... + 43853857.

It is an arithmetic number, because the mean of its divisors is an integer number (26453700).

Almost surely, 2^2938206208 is an apocalyptic number.

2938206208 is a gapful number since it is divisible by the number (28) 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 2938206208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809332800).

2938206208 is an abundant number, since it is smaller than the sum of its proper divisors (4680459392).

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

2938206208 is a wasteful number, since it uses less digits than its factorization.

2938206208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 2938206208 is about 54205.2230693685. The cubic root of 2938206208 is about 1432.2783392040.

The spelling of 2938206208 in words is "two billion, nine hundred thirty-eight million, two hundred six thousand, two hundred eight".