2931093216 has 336 divisors, whose sum is σ = 9667803600. Its totient is φ = 868921344.

The previous prime is 2931093211. The next prime is 2931093223. The reversal of 2931093216 is 6123901392.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2931093211) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7534750 + ... + 7535138.

It is an arithmetic number, because the mean of its divisors is an integer number (28773225).

Almost surely, 2^2931093216 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 2931093216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4833901800).

2931093216 is an abundant number, since it is smaller than the sum of its proper divisors (6736710384).

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

2931093216 is a wasteful number, since it uses less digits than its factorization.

2931093216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 2931093216 is about 54139.5716274150. The cubic root of 2931093216 is about 1431.1216225097.

The spelling of 2931093216 in words is "two billion, nine hundred thirty-one million, ninety-three thousand, two hundred sixteen".