2180770812 has 144 divisors (see below), whose sum is σ = 6523511904. Its totient is φ = 606720000.

The previous prime is 2180770789. The next prime is 2180770817.

It is a happy number.

2180770812 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2180770812² = 9511522668942278688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180770817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272062 + ... + 279962.

It is an arithmetic number, because the mean of its divisors is an integer number (45302166).

Almost surely, 2^2180770812 is an apocalyptic number.

2180770812 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 2180770812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261755952).

2180770812 is an abundant number, since it is smaller than the sum of its proper divisors (4342741092).

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

2180770812 is a wasteful number, since it uses less digits than its factorization.

2180770812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7980 (or 7975 counting only the distinct ones).

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

The square root of 2180770812 is about 46698.7238797807. The cubic root of 2180770812 is about 1296.7910622575.

The spelling of 2180770812 in words is "two billion, one hundred eighty million, seven hundred seventy thousand, eight hundred twelve".