2616121761 has 32 divisors (see below), whose sum is σ = 4038766080. Its totient is φ = 1502035920.

The previous prime is 2616121751. The next prime is 2616121769. The reversal of 2616121761 is 1671216162.

It is not a de Polignac number, because 2616121761 - 2¹⁰ = 2616120737 is a prime.

It is a super-2 number, since 2×2616121761² = 13688186136755482242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2616121769) 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 31 ways as a sum of consecutive naturals, for example, 58626 + ... + 93108.

It is an arithmetic number, because the mean of its divisors is an integer number (126211440).

Almost surely, 2^2616121761 is an apocalyptic number.

It is an amenable number.

2616121761 is a deficient number, since it is larger than the sum of its proper divisors (1422644319).

2616121761 is a wasteful number, since it uses less digits than its factorization.

2616121761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34538 (or 34516 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 2616121761 is about 51148.0377042952. The cubic root of 2616121761 is about 1377.9051323120.

The spelling of 2616121761 in words is "two billion, six hundred sixteen million, one hundred twenty-one thousand, seven hundred sixty-one".