2180276240 has 80 divisors (see below), whose sum is σ = 5135015088. Its totient is φ = 860848128.

The previous prime is 2180276177. The next prime is 2180276249. The reversal of 2180276240 is 426720812.

It can be written as a sum of positive squares in 8 ways, for example, as 1255143184 + 925133056 = 35428^2 + 30416^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2180276197 and 2180276206.

It is not an unprimeable number, because it can be changed into a prime (2180276249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3914042 + ... + 3914598.

Almost surely, 2^2180276240 is an apocalyptic number.

2180276240 is a gapful number since it is divisible by the number (20) 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 2180276240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567507544).

2180276240 is an abundant number, since it is smaller than the sum of its proper divisors (2954738848).

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

2180276240 is a wasteful number, since it uses less digits than its factorization.

2180276240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 2180276240 is about 46693.4282313903. The cubic root of 2180276240 is about 1296.6930227577.

The spelling of 2180276240 in words is "two billion, one hundred eighty million, two hundred seventy-six thousand, two hundred forty".