2817771216 has 160 divisors (see below), whose sum is σ = 8661945600. Its totient is φ = 780460032.

The previous prime is 2817771211. The next prime is 2817771221. The reversal of 2817771216 is 6121777182.

It is an interprime number because it is at equal distance from previous prime (2817771211) and next prime (2817771221).

It is a hoax number, since the sum of its digits (42) 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 (2817771211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238210 + ... + 249758.

It is an arithmetic number, because the mean of its divisors is an integer number (54137160).

Almost surely, 2^2817771216 is an apocalyptic number.

2817771216 is a gapful number since it is divisible by the number (26) 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 2817771216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330972800).

2817771216 is an abundant number, since it is smaller than the sum of its proper divisors (5844174384).

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

2817771216 is a wasteful number, since it uses less digits than its factorization.

2817771216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11613 (or 11607 counting only the distinct ones).

The product of its digits is 65856, while the sum is 42.

The square root of 2817771216 is about 53082.6828259462. The cubic root of 2817771216 is about 1412.4353426012.

The spelling of 2817771216 in words is "two billion, eight hundred seventeen million, seven hundred seventy-one thousand, two hundred sixteen".