2217983040 has 1008 divisors, whose sum is σ = 10173980160. Its totient is φ = 452874240.

The previous prime is 2217983039. The next prime is 2217983041. The reversal of 2217983040 is 403897122.

It is an interprime number because it is at equal distance from previous prime (2217983039) and next prime (2217983041).

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 2217982986 and 2217983004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2217983041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71547825 + ... + 71547855.

Almost surely, 2^2217983040 is an apocalyptic number.

2217983040 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 2217983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5086990080).

2217983040 is an abundant number, since it is smaller than the sum of its proper divisors (7955997120).

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

2217983040 is a wasteful number, since it uses less digits than its factorization.

2217983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2217983040 is about 47095.4672978196. The cubic root of 2217983040 is about 1304.1255603185.

The spelling of 2217983040 in words is "two billion, two hundred seventeen million, nine hundred eighty-three thousand, forty".