2813368320 has 576 divisors, whose sum is σ = 11498760000. Its totient is φ = 635830272.

The previous prime is 2813368291. The next prime is 2813368351. The reversal of 2813368320 is 238633182.

It is a tau number, because it is divible by the number of its divisors (576).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31610836 + ... + 31610924.

It is an arithmetic number, because the mean of its divisors is an integer number (19963125).

Almost surely, 2^2813368320 is an apocalyptic number.

2813368320 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 2813368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749380000).

2813368320 is an abundant number, since it is smaller than the sum of its proper divisors (8685391680).

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

2813368320 is an equidigital number, since it uses as much as digits as its factorization.

2813368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2813368320 is about 53041.1945566840. The cubic root of 2813368320 is about 1411.6992942242.

The spelling of 2813368320 in words is "two billion, eight hundred thirteen million, three hundred sixty-eight thousand, three hundred twenty".