2266616880 has 360 divisors, whose sum is σ = 8696849616. Its totient is φ = 524620800.

The previous prime is 2266616861. The next prime is 2266616917. The reversal of 2266616880 is 886166622.

It is a Cunningham number, because it is equal to 47609²-1.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4189410 + ... + 4189950.

Almost surely, 2^2266616880 is an apocalyptic number.

2266616880 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 2266616880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348424808).

2266616880 is an abundant number, since it is smaller than the sum of its proper divisors (6430232736).

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

2266616880 is a wasteful number, since it uses less digits than its factorization.

2266616880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2266616880 is about 47608.9999894978. Note that the first 4 decimals coincide. The cubic root of 2266616880 is about 1313.5886065042.

The spelling of 2266616880 in words is "two billion, two hundred sixty-six million, six hundred sixteen thousand, eight hundred eighty".