2195721216 has 352 divisors, whose sum is σ = 7221816000. Its totient is φ = 654704640.

The previous prime is 2195721211. The next prime is 2195721223. The reversal of 2195721216 is 6121275912.

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

It is not an unprimeable number, because it can be changed into a prime (2195721211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14736310 + ... + 14736458.

Almost surely, 2^2195721216 is an apocalyptic number.

2195721216 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 2195721216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610908000).

2195721216 is an abundant number, since it is smaller than the sum of its proper divisors (5026094784).

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

2195721216 is a wasteful number, since it uses less digits than its factorization.

2195721216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 208 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 2195721216 is about 46858.5234082339. The cubic root of 2195721216 is about 1299.7477254064.

The spelling of 2195721216 in words is "two billion, one hundred ninety-five million, seven hundred twenty-one thousand, two hundred sixteen".