2938162500 has 648 divisors, whose sum is σ = 11913128136. Its totient is φ = 604800000.

The previous prime is 2938162483. The next prime is 2938162501. The reversal of 2938162500 is 52618392.

2938162500 is a `hidden beast` number, since 2 + 93 + 8 + 1 + 62 + 500 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2406491136 + 531671364 = 49056^2 + 23058^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2938162501) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 71662480 + ... + 71662520.

It is an arithmetic number, because the mean of its divisors is an integer number (18384457).

Almost surely, 2^2938162500 is an apocalyptic number.

2938162500 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 2938162500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5956564068).

2938162500 is an abundant number, since it is smaller than the sum of its proper divisors (8974965636).

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

2938162500 is a wasteful number, since it uses less digits than its factorization.

2938162500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2938162500 is about 54204.8198963893. The cubic root of 2938162500 is about 1432.2712371007.

The spelling of 2938162500 in words is "two billion, nine hundred thirty-eight million, one hundred sixty-two thousand, five hundred".