2216677408 has 144 divisors (see below), whose sum is σ = 5228496000. Its totient is φ = 920747520.

The previous prime is 2216677373. The next prime is 2216677429. The reversal of 2216677408 is 8047766122.

It is a super-2 number, since 2×2216677408² = 9827317462275196928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2132953 + ... + 2133991.

It is an arithmetic number, because the mean of its divisors is an integer number (36309000).

Almost surely, 2^2216677408 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 2216677408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614248000).

2216677408 is an abundant number, since it is smaller than the sum of its proper divisors (3011818592).

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

2216677408 is a wasteful number, since it uses less digits than its factorization.

2216677408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 2216677408 is about 47081.6037110037. The cubic root of 2216677408 is about 1303.8696157289.

The spelling of 2216677408 in words is "two billion, two hundred sixteen million, six hundred seventy-seven thousand, four hundred eight".