2240414400 has 336 divisors, whose sum is σ = 8481242880. Its totient is φ = 507187200.

The previous prime is 2240414387. The next prime is 2240414413. The reversal of 2240414400 is 44140422.

It is an interprime number because it is at equal distance from previous prime (2240414387) and next prime (2240414413).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4401346 + ... + 4401854.

Almost surely, 2^2240414400 is an apocalyptic number.

2240414400 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 2240414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240621440).

2240414400 is an abundant number, since it is smaller than the sum of its proper divisors (6240828480).

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

2240414400 is a wasteful number, since it uses less digits than its factorization.

2240414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2240414400 is about 47333.0159613773. The cubic root of 2240414400 is about 1308.5072054026.

Adding to 2240414400 its reverse (44140422), we get a palindrome (2284554822).

The spelling of 2240414400 in words is "two billion, two hundred forty million, four hundred fourteen thousand, four hundred".