2661216072 has 64 divisors (see below), whose sum is σ = 6793968960. Its totient is φ = 868358400.

The previous prime is 2661216071. The next prime is 2661216079. The reversal of 2661216072 is 2706121662.

It is a super-2 number, since 2×2661216072² = 14164141963742218368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2661216071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622422 + ... + 626682.

It is an arithmetic number, because the mean of its divisors is an integer number (106155765).

Almost surely, 2^2661216072 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 2661216072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396984480).

2661216072 is an abundant number, since it is smaller than the sum of its proper divisors (4132752888).

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

2661216072 is a wasteful number, since it uses less digits than its factorization.

2661216072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2661216072 is about 51586.9757981605. The cubic root of 2661216072 is about 1385.7770964327. Note that the first 3 decimals are identical.

The spelling of 2661216072 in words is "two billion, six hundred sixty-one million, two hundred sixteen thousand, seventy-two".