2478890001 has 16 divisors (see below), whose sum is σ = 3839282048. Its totient is φ = 1393286400.

The previous prime is 2478889993. The next prime is 2478890017. The reversal of 2478890001 is 1000988742.

It is not a de Polignac number, because 2478890001 - 2³ = 2478889993 is a prime.

It is a super-2 number, since 2×2478890001² = 12289791274115560002, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (2478891001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 966280 + ... + 968841.

It is an arithmetic number, because the mean of its divisors is an integer number (239955128).

Almost surely, 2^2478890001 is an apocalyptic number.

2478890001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2478890001 is a deficient number, since it is larger than the sum of its proper divisors (1360392047).

2478890001 is a wasteful number, since it uses less digits than its factorization.

2478890001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935192.

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 2478890001 is about 49788.4524864953. The cubic root of 2478890001 is about 1353.3779150801.

The spelling of 2478890001 in words is "two billion, four hundred seventy-eight million, eight hundred ninety thousand, one".