2217335040 has 288 divisors, whose sum is σ = 7973562240. Its totient is φ = 583409664.

The previous prime is 2217335039. The next prime is 2217335059. The reversal of 2217335040 is 405337122.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2217335040² = 9833149359223603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2217334995 and 2217335013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2868094 + ... + 2868866.

It is an arithmetic number, because the mean of its divisors is an integer number (27685980).

Almost surely, 2^2217335040 is an apocalyptic number.

2217335040 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 2217335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986781120).

2217335040 is an abundant number, since it is smaller than the sum of its proper divisors (5756227200).

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

2217335040 is an equidigital number, since it uses as much as digits as its factorization.

2217335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2217335040 is about 47088.5871523026. The cubic root of 2217335040 is about 1303.9985446682.

The spelling of 2217335040 in words is "two billion, two hundred seventeen million, three hundred thirty-five thousand, forty".