2541642536 has 16 divisors (see below), whose sum is σ = 4766166900. Its totient is φ = 1270664704.

The previous prime is 2541642479. The next prime is 2541642541. The reversal of 2541642536 is 6352461452.

It can be written as a sum of positive squares in 2 ways, for example, as 1956292900 + 585349636 = 44230^2 + 24194^2 .

It is a super-2 number, since 2×2541642536² = 12919893561609022592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2541642536.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 78086 + ... + 105738.

Almost surely, 2^2541642536 is an apocalyptic number.

It is an amenable number.

2541642536 is a deficient number, since it is larger than the sum of its proper divisors (2224524364).

2541642536 is a wasteful number, since it uses less digits than its factorization.

2541642536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39148 (or 39144 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

The square root of 2541642536 is about 50414.7055530428. The cubic root of 2541642536 is about 1364.7030328043.

The spelling of 2541642536 in words is "two billion, five hundred forty-one million, six hundred forty-two thousand, five hundred thirty-six".