2561456541 has 16 divisors (see below), whose sum is σ = 3937716864. Its totient is φ = 1450735104.

The previous prime is 2561456539. The next prime is 2561456587. The reversal of 2561456541 is 1456541652.

It is not a de Polignac number, because 2561456541 - 2¹ = 2561456539 is a prime.

It is a super-2 number, since 2×2561456541² = 13122119222863369362, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 2561456541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561456141) 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, 537336 + ... + 542081.

It is an arithmetic number, because the mean of its divisors is an integer number (246107304).

Almost surely, 2^2561456541 is an apocalyptic number.

2561456541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2561456541 is a deficient number, since it is larger than the sum of its proper divisors (1376260323).

2561456541 is a wasteful number, since it uses less digits than its factorization.

2561456541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079540.

The product of its digits is 144000, while the sum is 39.

The square root of 2561456541 is about 50610.8342254897. The cubic root of 2561456541 is about 1368.2401508688.

The spelling of 2561456541 in words is "two billion, five hundred sixty-one million, four hundred fifty-six thousand, five hundred forty-one".