2131438320 has 320 divisors, whose sum is σ = 8092339200. Its totient is φ = 511349760.

The previous prime is 2131438273. The next prime is 2131438321. The reversal of 2131438320 is 238341312.

2131438320 is a `hidden beast` number, since 21 + 314 + 3 + 8 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131438321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2589429 + ... + 2590251.

It is an arithmetic number, because the mean of its divisors is an integer number (25288560).

Almost surely, 2^2131438320 is an apocalyptic number.

2131438320 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 2131438320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046169600).

2131438320 is an abundant number, since it is smaller than the sum of its proper divisors (5960900880).

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

2131438320 is a wasteful number, since it uses less digits than its factorization.

2131438320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2131438320 is about 46167.5028564465. The cubic root of 2131438320 is about 1286.9378967104.

Adding to 2131438320 its reverse (238341312), we get a palindrome (2369779632).

The spelling of 2131438320 in words is "two billion, one hundred thirty-one million, four hundred thirty-eight thousand, three hundred twenty".