2813447520 has 240 divisors, whose sum is σ = 10693544400. Its totient is φ = 692499456.

The previous prime is 2813447519. The next prime is 2813447543. The reversal of 2813447520 is 257443182.

It is a happy number.

2813447520 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 160131 + ... + 176829.

It is an arithmetic number, because the mean of its divisors is an integer number (44556435).

Almost surely, 2^2813447520 is an apocalyptic number.

2813447520 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 2813447520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346772200).

2813447520 is an abundant number, since it is smaller than the sum of its proper divisors (7880096880).

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

2813447520 is a wasteful number, since it uses less digits than its factorization.

2813447520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16739 (or 16722 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2813447520 is about 53041.9411409500. The cubic root of 2813447520 is about 1411.7125411608.

The spelling of 2813447520 in words is "two billion, eight hundred thirteen million, four hundred forty-seven thousand, five hundred twenty".