2218487040 has 864 divisors, whose sum is σ = 9963862272. Its totient is φ = 442368000.

The previous prime is 2218487039. The next prime is 2218487083. The reversal of 2218487040 is 407848122.

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 = 2218486986 and 2218487004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36368610 + ... + 36368670.

It is an arithmetic number, because the mean of its divisors is an integer number (11532248).

Almost surely, 2^2218487040 is an apocalyptic number.

2218487040 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 2218487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981931136).

2218487040 is an abundant number, since it is smaller than the sum of its proper divisors (7745375232).

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

2218487040 is a wasteful number, since it uses less digits than its factorization.

2218487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2218487040 is about 47100.8178272947. The cubic root of 2218487040 is about 1304.2243331663.

The spelling of 2218487040 in words is "two billion, two hundred eighteen million, four hundred eighty-seven thousand, forty".