2261206541 has 16 divisors (see below), whose sum is σ = 2483006400. Its totient is φ = 2042160000.

The previous prime is 2261206537. The next prime is 2261206561. The reversal of 2261206541 is 1456021622.

It is a cyclic number.

It is not a de Polignac number, because 2261206541 - 2² = 2261206537 is a prime.

It is a super-2 number, since 2×2261206541² = 10226110042122369362, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261206561) 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, 1404545 + ... + 1406153.

It is an arithmetic number, because the mean of its divisors is an integer number (155187900).

Almost surely, 2^2261206541 is an apocalyptic number.

It is an amenable number.

2261206541 is a deficient number, since it is larger than the sum of its proper divisors (221799859).

2261206541 is a wasteful number, since it uses less digits than its factorization.

2261206541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 2261206541 is about 47552.1454931321. The cubic root of 2261206541 is about 1312.5426097248.

It can be divided in two parts, 2261 and 206541, that added together give a palindrome (208802).

The spelling of 2261206541 in words is "two billion, two hundred sixty-one million, two hundred six thousand, five hundred forty-one".