2206766961 has 48 divisors (see below), whose sum is σ = 3808296960. Its totient is φ = 1204800480.

The previous prime is 2206766941. The next prime is 2206766971. The reversal of 2206766961 is 1696676022.

It is not a de Polignac number, because 2206766961 - 2⁹ = 2206766449 is a prime.

It is a super-2 number, since 2×2206766961² = 9739640840322351042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2206766941) 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, 147136 + ... + 161438.

It is an arithmetic number, because the mean of its divisors is an integer number (79339520).

Almost surely, 2^2206766961 is an apocalyptic number.

2206766961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2206766961 is a deficient number, since it is larger than the sum of its proper divisors (1601529999).

2206766961 is a wasteful number, since it uses less digits than its factorization.

2206766961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14426 (or 14423 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2206766961 is about 46976.2382593583. The cubic root of 2206766961 is about 1301.9235746231.

The spelling of 2206766961 in words is "two billion, two hundred six million, seven hundred sixty-six thousand, nine hundred sixty-one".