2182071276 has 288 divisors, whose sum is σ = 7223623680. Its totient is φ = 538876800.

The previous prime is 2182071271. The next prime is 2182071277. The reversal of 2182071276 is 6721702812.

It is a super-2 number, since 2×2182071276² = 9522870107088536352, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2182071276.

It is not an unprimeable number, because it can be changed into a prime (2182071271) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5757255 + ... + 5757633.

Almost surely, 2^2182071276 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 2182071276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611811840).

2182071276 is an abundant number, since it is smaller than the sum of its proper divisors (5041552404).

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

2182071276 is a wasteful number, since it uses less digits than its factorization.

2182071276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 2182071276 is about 46712.6457824859. The cubic root of 2182071276 is about 1297.0487838193.

It can be divided in two parts, 21820 and 71276, that added together give a triangular number (93096 = T₄₃₁).

The spelling of 2182071276 in words is "two billion, one hundred eighty-two million, seventy-one thousand, two hundred seventy-six".