2240212400 has 90 divisors (see below), whose sum is σ = 5717623260. Its totient is φ = 843330560.

The previous prime is 2240212357. The next prime is 2240212441. The reversal of 2240212400 is 42120422.

It is a happy number.

It is a super-2 number, since 2×2240212400² = 10037103194227520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 105911 + ... + 125289.

Almost surely, 2^2240212400 is an apocalyptic number.

2240212400 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 2240212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858811630).

2240212400 is an abundant number, since it is smaller than the sum of its proper divisors (3477410860).

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

2240212400 is a wasteful number, since it uses less digits than its factorization.

2240212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19431 (or 19403 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2240212400 is about 47330.8820961537. The cubic root of 2240212400 is about 1308.4678783924.

Adding to 2240212400 its reverse (42120422), we get a palindrome (2282332822).

The spelling of 2240212400 in words is "two billion, two hundred forty million, two hundred twelve thousand, four hundred".