2616551541 has 48 divisors (see below), whose sum is σ = 4068792000. Its totient is φ = 1615251456.

The previous prime is 2616551537. The next prime is 2616551557. The reversal of 2616551541 is 1451556162.

2616551541 is a `hidden beast` number, since 2 + 6 + 1 + 65 + 51 + 541 = 666.

It is not a de Polignac number, because 2616551541 - 2² = 2616551537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2616551496 and 2616551505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2616551501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4068966 + ... + 4069608.

It is an arithmetic number, because the mean of its divisors is an integer number (84766500).

Almost surely, 2^2616551541 is an apocalyptic number.

It is an amenable number.

2616551541 is a deficient number, since it is larger than the sum of its proper divisors (1452240459).

2616551541 is a wasteful number, since it uses less digits than its factorization.

2616551541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1167 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 2616551541 is about 51152.2388659578. The cubic root of 2616551541 is about 1377.9805828830.

The spelling of 2616551541 in words is "two billion, six hundred sixteen million, five hundred fifty-one thousand, five hundred forty-one".