2216975040 has 336 divisors, whose sum is σ = 8768315712. Its totient is φ = 503635968.

The previous prime is 2216975039. The next prime is 2216975053. The reversal of 2216975040 is 405796122.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 2216974986 and 2216975004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5584122 + ... + 5584518.

Almost surely, 2^2216975040 is an apocalyptic number.

2216975040 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 2216975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384157856).

2216975040 is an abundant number, since it is smaller than the sum of its proper divisors (6551340672).

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

2216975040 is a wasteful number, since it uses less digits than its factorization.

2216975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2216975040 is about 47084.7644148296. The cubic root of 2216975040 is about 1303.9279697250.

The spelling of 2216975040 in words is "two billion, two hundred sixteen million, nine hundred seventy-five thousand, forty".