2818312560 has 360 divisors, whose sum is σ = 11423599200. Its totient is φ = 609887232.

The previous prime is 2818312529. The next prime is 2818312583. The reversal of 2818312560 is 652138182.

It is a happy number.

2818312560 is a `hidden beast` number, since 2 + 8 + 1 + 83 + 12 + 560 = 666.

2818312560 is digitally balanced in base 2, because in such base 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 (360).

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 71 ways as a sum of consecutive naturals, for example, 1818666 + ... + 1820214.

It is an arithmetic number, because the mean of its divisors is an integer number (31732220).

Almost surely, 2^2818312560 is an apocalyptic number.

2818312560 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 2818312560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711799600).

2818312560 is an abundant number, since it is smaller than the sum of its proper divisors (8605286640).

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

2818312560 is a wasteful number, since it uses less digits than its factorization.

2818312560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2818312560 is about 53087.7816451206. The cubic root of 2818312560 is about 1412.5257881318.

The spelling of 2818312560 in words is "two billion, eight hundred eighteen million, three hundred twelve thousand, five hundred sixty".