2178008712 has 216 divisors, whose sum is σ = 6682671450. Its totient is φ = 640273920.

The previous prime is 2178008681. The next prime is 2178008747.

It is a happy number.

2178008712 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 1949575716 + 228432996 = 44154^2 + 15114^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 24471964 + ... + 24472052.

Almost surely, 2^2178008712 is an apocalyptic number.

2178008712 is a gapful number since it is divisible by the number (22) 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 2178008712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341335725).

2178008712 is an abundant number, since it is smaller than the sum of its proper divisors (4504662738).

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

2178008712 is a wasteful number, since it uses less digits than its factorization.

2178008712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 2178008712 is about 46669.1408963139. The cubic root of 2178008712 is about 1296.2433385097.

It can be divided in two parts, 217800 and 8712, that multiplied together give a square (1897473600 = 43560²).

The spelling of 2178008712 in words is "two billion, one hundred seventy-eight million, eight thousand, seven hundred twelve".