2218752000 has 480 divisors, whose sum is σ = 8348099760. Its totient is φ = 586137600.

The previous prime is 2218751993. The next prime is 2218752001. The reversal of 2218752000 is 2578122.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2218752001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20735947 + ... + 20736053.

Almost surely, 2^2218752000 is an apocalyptic number.

2218752000 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 2218752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174049880).

2218752000 is an abundant number, since it is smaller than the sum of its proper divisors (6129347760).

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

2218752000 is an equidigital number, since it uses as much as digits as its factorization.

2218752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2218752000 is about 47103.6304333328. The cubic root of 2218752000 is about 1304.2762534640.

The spelling of 2218752000 in words is "two billion, two hundred eighteen million, seven hundred fifty-two thousand".