2218190400 has 168 divisors, whose sum is σ = 8086283040. Its totient is φ = 591505920.

The previous prime is 2218190393. The next prime is 2218190417. The reversal of 2218190400 is 40918122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17527 + ... + 68873.

Almost surely, 2^2218190400 is an apocalyptic number.

2218190400 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 2218190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043141520).

2218190400 is an abundant number, since it is smaller than the sum of its proper divisors (5868092640).

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

2218190400 is a wasteful number, since it uses less digits than its factorization.

2218190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51378 (or 51357 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2218190400 is about 47097.6687321145. The cubic root of 2218190400 is about 1304.1662001017.

The spelling of 2218190400 in words is "two billion, two hundred eighteen million, one hundred ninety thousand, four hundred".