2131191216 has 320 divisors, whose sum is σ = 7732838400. Its totient is φ = 545875200.

The previous prime is 2131191173. The next prime is 2131191277. The reversal of 2131191216 is 6121911312.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2131191216.

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, 2627451 + ... + 2628261.

It is an arithmetic number, because the mean of its divisors is an integer number (24165120).

Almost surely, 2^2131191216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131191216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866419200).

2131191216 is an abundant number, since it is smaller than the sum of its proper divisors (5601647184).

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

2131191216 is a wasteful number, since it uses less digits than its factorization.

2131191216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 913 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 2131191216 is about 46164.8266107434. The cubic root of 2131191216 is about 1286.8881619392. Note that the first 3 decimals are identical.

The spelling of 2131191216 in words is "two billion, one hundred thirty-one million, one hundred ninety-one thousand, two hundred sixteen".