2261168001 has 32 divisors (see below), whose sum is σ = 3374784000. Its totient is φ = 1496289024.

The previous prime is 2261167949. The next prime is 2261168009. The reversal of 2261168001 is 1008611622.

It is not a de Polignac number, because 2261168001 - 2¹⁷ = 2261036929 is a prime.

It is a super-2 number, since 2×2261168001² = 10225761457492672002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2261168009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3144520 + ... + 3145238.

It is an arithmetic number, because the mean of its divisors is an integer number (105462000).

Almost surely, 2^2261168001 is an apocalyptic number.

2261168001 is the 38826-th pentagonal number.

It is an amenable number.

2261168001 is a deficient number, since it is larger than the sum of its proper divisors (1113615999).

2261168001 is a wasteful number, since it uses less digits than its factorization.

2261168001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2261168001 is about 47551.7402520665. The cubic root of 2261168001 is about 1312.5351526912.

Adding to 2261168001 its reverse (1008611622), we get a palindrome (3269779623).

The spelling of 2261168001 in words is "two billion, two hundred sixty-one million, one hundred sixty-eight thousand, one".