2661216000 has 288 divisors, whose sum is σ = 9310828800. Its totient is φ = 671846400.

The previous prime is 2661215993. The next prime is 2661216007. The reversal of 2661216000 is 6121662.

It is an interprime number because it is at equal distance from previous prime (2661215993) and next prime (2661216007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661216007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1823271 + ... + 1824729.

Almost surely, 2^2661216000 is an apocalyptic number.

2661216000 is a gapful number since it is divisible by the number (20) 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 2661216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655414400).

2661216000 is an abundant number, since it is smaller than the sum of its proper divisors (6649612800).

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

2661216000 is a wasteful number, since it uses less digits than its factorization.

2661216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2661216000 is about 51586.9751003100. The cubic root of 2661216000 is about 1385.7770839352. Note that the first 3 decimals are identical.

Adding to 2661216000 its reverse (6121662), we get a palindrome (2667337662).

The spelling of 2661216000 in words is "two billion, six hundred sixty-one million, two hundred sixteen thousand".