2812471776 has 144 divisors (see below), whose sum is σ = 8302694400. Its totient is φ = 902119680.

The previous prime is 2812471757. The next prime is 2812471777. The reversal of 2812471776 is 6771742182.

2812471776 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 (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2812471777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1775881 + ... + 1777463.

It is an arithmetic number, because the mean of its divisors is an integer number (57657600).

Almost surely, 2^2812471776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2812471776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151347200).

2812471776 is an abundant number, since it is smaller than the sum of its proper divisors (5490222624).

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

2812471776 is a wasteful number, since it uses less digits than its factorization.

2812471776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1818 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 2812471776 is about 53032.7424898996. The cubic root of 2812471776 is about 1411.5493215634.

The spelling of 2812471776 in words is "two billion, eight hundred twelve million, four hundred seventy-one thousand, seven hundred seventy-six".