2206715040 has 144 divisors (see below), whose sum is σ = 7563884328. Its totient is φ = 585842688.

The previous prime is 2206715023. The next prime is 2206715047. The reversal of 2206715040 is 405176022.

It can be written as a sum of positive squares in 4 ways, for example, as 2039064336 + 167650704 = 45156^2 + 12948^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2206714995 and 2206715013.

It is not an unprimeable number, because it can be changed into a prime (2206715047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332232 + ... + 338808.

Almost surely, 2^2206715040 is an apocalyptic number.

2206715040 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 2206715040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781942164).

2206715040 is an abundant number, since it is smaller than the sum of its proper divisors (5357169288).

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

2206715040 is a wasteful number, since it uses less digits than its factorization.

2206715040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6831 (or 6820 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2206715040 is about 46975.6856256511. The cubic root of 2206715040 is about 1301.9133639536.

The spelling of 2206715040 in words is "two billion, two hundred six million, seven hundred fifteen thousand, forty".