2261386413 has 48 divisors (see below), whose sum is σ = 3865417920. Its totient is φ = 1255910400.

The previous prime is 2261386411. The next prime is 2261386453. The reversal of 2261386413 is 3146831622.

2261386413 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 3 + 8 + 641 + 3 = 666.

It is not a de Polignac number, because 2261386413 - 2¹ = 2261386411 is a prime.

It is a super-2 number, since 2×2261386413² = 10227737017802013138, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261386411) 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 47 ways as a sum of consecutive naturals, for example, 172573 + ... + 185213.

It is an arithmetic number, because the mean of its divisors is an integer number (80529540).

Almost surely, 2^2261386413 is an apocalyptic number.

It is an amenable number.

2261386413 is a deficient number, since it is larger than the sum of its proper divisors (1604031507).

2261386413 is a wasteful number, since it uses less digits than its factorization.

2261386413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12810 (or 12807 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2261386413 is about 47554.0367687119. The cubic root of 2261386413 is about 1312.5774117062.

The spelling of 2261386413 in words is "two billion, two hundred sixty-one million, three hundred eighty-six thousand, four hundred thirteen".