2938401600 has 168 divisors, whose sum is σ = 9741334848. Its totient is φ = 775372800.

The previous prime is 2938401577. The next prime is 2938401611. The reversal of 2938401600 is 61048392.

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, 462445 + ... + 468755.

It is an arithmetic number, because the mean of its divisors is an integer number (57984136).

Almost surely, 2^2938401600 is an apocalyptic number.

2938401600 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 2938401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4870667424).

2938401600 is an abundant number, since it is smaller than the sum of its proper divisors (6802933248).

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

2938401600 is a wasteful number, since it uses less digits than its factorization.

2938401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6433 (or 6418 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2938401600 is about 54207.0253749456. The cubic root of 2938401600 is about 1432.3100875459.

Adding to 2938401600 its reverse (61048392), we get a palindrome (2999449992).

The spelling of 2938401600 in words is "two billion, nine hundred thirty-eight million, four hundred one thousand, six hundred".