2558414381 has 16 divisors (see below), whose sum is σ = 2616991920. Its totient is φ = 2500692480.

The previous prime is 2558414351. The next prime is 2558414389. The reversal of 2558414381 is 1834148552.

It can be written as a sum of positive squares in 8 ways, for example, as 214886281 + 2343528100 = 14659^2 + 48410^2 .

It is a cyclic number.

It is not a de Polignac number, because 2558414381 - 2¹⁴ = 2558397997 is a prime.

It is a super-2 number, since 2×2558414381² = 13090968289815226322, 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 (2558414389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3870191 + ... + 3870851.

It is an arithmetic number, because the mean of its divisors is an integer number (163561995).

Almost surely, 2^2558414381 is an apocalyptic number.

It is an amenable number.

2558414381 is a deficient number, since it is larger than the sum of its proper divisors (58577539).

2558414381 is a wasteful number, since it uses less digits than its factorization.

2558414381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184.

The product of its digits is 153600, while the sum is 41.

The square root of 2558414381 is about 50580.7708620578. The cubic root of 2558414381 is about 1367.6982645981.

The spelling of 2558414381 in words is "two billion, five hundred fifty-eight million, four hundred fourteen thousand, three hundred eighty-one".