2406414301890 has 128 divisors (see below), whose sum is σ = 6091336339200. Its totient is φ = 606740336640.

The previous prime is 2406414301883. The next prime is 2406414301937. The reversal of 2406414301890 is 981034146042.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 973073694 + ... + 973076166.

It is an arithmetic number, because the mean of its divisors is an integer number (47588565150).

Almost surely, 2^{2406414301890} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2406414301890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045668169600).

2406414301890 is an abundant number, since it is smaller than the sum of its proper divisors (3684922037310).

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

2406414301890 is a wasteful number, since it uses less digits than its factorization.

2406414301890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5172.

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 2406414301890 in words is "two trillion, four hundred six billion, four hundred fourteen million, three hundred one thousand, eight hundred ninety".