2813124978 has 64 divisors (see below), whose sum is σ = 6365692800. Its totient is φ = 932210208.

The previous prime is 2813124931. The next prime is 2813125037. The reversal of 2813124978 is 8794213182.

It is a happy number.

2813124978 is a `hidden beast` number, since 28 + 131 + 2 + 497 + 8 = 666.

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 31 ways as a sum of consecutive naturals, for example, 781150 + ... + 784742.

It is an arithmetic number, because the mean of its divisors is an integer number (99463950).

Almost surely, 2^2813124978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2813124978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182846400).

2813124978 is an abundant number, since it is smaller than the sum of its proper divisors (3552567822).

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

2813124978 is an equidigital number, since it uses as much as digits as its factorization.

2813124978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3777 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 2813124978 is about 53038.9006107781. The cubic root of 2813124978 is about 1411.6585914562.

The spelling of 2813124978 in words is "two billion, eight hundred thirteen million, one hundred twenty-four thousand, nine hundred seventy-eight".