2938144361900 has 72 divisors (see below), whose sum is σ = 6960121190400. Its totient is φ = 1067689224000.

The previous prime is 2938144361899. The next prime is 2938144361921. The reversal of 2938144361900 is 91634418392.

It is a super-2 number, since 2×2938144361900² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710201 + ... + 2525999.

Almost surely, 2^{2938144361900} is an apocalyptic number.

2938144361900 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 2938144361900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480060595200).

2938144361900 is an abundant number, since it is smaller than the sum of its proper divisors (4021976828500).

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

2938144361900 is a wasteful number, since it uses less digits than its factorization.

2938144361900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817295 (or 1817288 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 50.

The spelling of 2938144361900 in words is "two trillion, nine hundred thirty-eight billion, one hundred forty-four million, three hundred sixty-one thousand, nine hundred".