2131345216 has 448 divisors, whose sum is σ = 6390558720. Its totient is φ = 676823040.

The previous prime is 2131345147. The next prime is 2131345243. The reversal of 2131345216 is 6125431312.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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, 20692621 + ... + 20692723.

It is an arithmetic number, because the mean of its divisors is an integer number (14264640).

Almost surely, 2^2131345216 is an apocalyptic number.

2131345216 is a gapful number since it is divisible by the number (26) 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 2131345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195279360).

2131345216 is an abundant number, since it is smaller than the sum of its proper divisors (4259213504).

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

2131345216 is a wasteful number, since it uses less digits than its factorization.

2131345216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 2131345216 is about 46166.4945171279. The cubic root of 2131345216 is about 1286.9191580635.

Adding to 2131345216 its reverse (6125431312), we get a palindrome (8256776528).

The spelling of 2131345216 in words is "two billion, one hundred thirty-one million, three hundred forty-five thousand, two hundred sixteen".