2240414010 has 96 divisors (see below), whose sum is σ = 6018639120. Its totient is φ = 577787904.

The previous prime is 2240413979. The next prime is 2240414027. The reversal of 2240414010 is 104140422.

2240414010 is a `hidden beast` number, since 2 + 240 + 414 + 0 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2078539281 + 161874729 = 45591^2 + 12723^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574146 + ... + 578034.

Almost surely, 2^2240414010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240414010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009319560).

2240414010 is an abundant number, since it is smaller than the sum of its proper divisors (3778225110).

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

2240414010 is a wasteful number, since it uses less digits than its factorization.

2240414010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2240414010 is about 47333.0118416312. The cubic root of 2240414010 is about 1308.5071294765.

Adding to 2240414010 its reverse (104140422), we get a palindrome (2344554432).

The spelling of 2240414010 in words is "two billion, two hundred forty million, four hundred fourteen thousand, ten".