2813398320 has 80 divisors (see below), whose sum is σ = 8765510400. Its totient is φ = 746456832.

The previous prime is 2813398271. The next prime is 2813398321. The reversal of 2813398320 is 238933182.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2813398321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18307 + ... + 77213.

It is an arithmetic number, because the mean of its divisors is an integer number (109568880).

Almost surely, 2^2813398320 is an apocalyptic number.

2813398320 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 2813398320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382755200).

2813398320 is an abundant number, since it is smaller than the sum of its proper divisors (5952112080).

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

2813398320 is a wasteful number, since it uses less digits than its factorization.

2813398320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59122 (or 59116 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2813398320 is about 53041.4773549908. The cubic root of 2813398320 is about 1411.7043120325.

The spelling of 2813398320 in words is "two billion, eight hundred thirteen million, three hundred ninety-eight thousand, three hundred twenty".