2400228006 has 64 divisors (see below), whose sum is σ = 5314118400. Its totient is φ = 716672000.

The previous prime is 2400227989. The next prime is 2400228023. The reversal of 2400228006 is 6008220042.

It is an interprime number because it is at equal distance from previous prime (2400227989) and next prime (2400228023).

It is a super-2 number, since 2×2400228006² = 11522188961573472072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2354965 + ... + 2355983.

It is an arithmetic number, because the mean of its divisors is an integer number (83033100).

Almost surely, 2^2400228006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400228006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657059200).

2400228006 is an abundant number, since it is smaller than the sum of its proper divisors (2913890394).

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

2400228006 is a wasteful number, since it uses less digits than its factorization.

2400228006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2400228006 is about 48992.1218768896. The cubic root of 2400228006 is about 1338.9082973576.

Adding to 2400228006 its reverse (6008220042), we get a palindrome (8408448048).

The spelling of 2400228006 in words is "two billion, four hundred million, two hundred twenty-eight thousand, six".