2813862240 has 576 divisors, whose sum is σ = 11667801600. Its totient is φ = 640120320.

The previous prime is 2813862239. The next prime is 2813862371. The reversal of 2813862240 is 422683182.

2813862240 is a `hidden beast` number, since 28 + 1 + 3 + 8 + 622 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2813862195 and 2813862204.

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 95 ways as a sum of consecutive naturals, for example, 13335735 + ... + 13335945.

It is an arithmetic number, because the mean of its divisors is an integer number (20256600).

Almost surely, 2^2813862240 is an apocalyptic number.

2813862240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2813862240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5833900800).

2813862240 is an abundant number, since it is smaller than the sum of its proper divisors (8853939360).

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

2813862240 is an equidigital number, since it uses as much as digits as its factorization.

2813862240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2813862240 is about 53045.8503560835. The cubic root of 2813862240 is about 1411.7819028788.

The spelling of 2813862240 in words is "two billion, eight hundred thirteen million, eight hundred sixty-two thousand, two hundred forty".