2813220864 has 288 divisors, whose sum is σ = 8879598000. Its totient is φ = 854654976.

The previous prime is 2813220853. The next prime is 2813220881. The reversal of 2813220864 is 4680223182.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 23 ways as a sum of consecutive naturals, for example, 10155894 + ... + 10156170.

Almost surely, 2^2813220864 is an apocalyptic number.

2813220864 is a gapful number since it is divisible by the number (24) 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 2813220864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439799000).

2813220864 is an abundant number, since it is smaller than the sum of its proper divisors (6066377136).

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

2813220864 is a wasteful number, since it uses less digits than its factorization.

2813220864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 330 counting only the distinct ones).

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

The square root of 2813220864 is about 53039.8045245267. The cubic root of 2813220864 is about 1411.6746301745.

The spelling of 2813220864 in words is "two billion, eight hundred thirteen million, two hundred twenty thousand, eight hundred sixty-four".