2400404006251 has 2 divisors, whose sum is σ = 2400404006252. Its totient is φ = 2400404006250.

The previous prime is 2400404006219. The next prime is 2400404006263. The reversal of 2400404006251 is 1526004040042.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2400404006251 - 2⁵ = 2400404006219 is a prime.

It is not a weakly prime, because it can be changed into another prime (2400404006051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200202003125 + 1200202003126.

It is an arithmetic number, because the mean of its divisors is an integer number (1200202003126).

Almost surely, 2^{2400404006251} is an apocalyptic number.

2400404006251 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400404006251 is an equidigital number, since it uses as much as digits as its factorization.

2400404006251 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 2400404006251 its reverse (1526004040042), we get a palindrome (3926408046293).

The spelling of 2400404006251 in words is "two trillion, four hundred billion, four hundred four million, six thousand, two hundred fifty-one".