2607541680 has 40 divisors (see below), whose sum is σ = 8083379952. Its totient is φ = 695344384.

The previous prime is 2607541649. The next prime is 2607541693. The reversal of 2607541680 is 861457062.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2607541680² = 13598547225874444800, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5432139 + ... + 5432618.

Almost surely, 2^2607541680 is an apocalyptic number.

2607541680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2607541680 is an abundant number, since it is smaller than the sum of its proper divisors (5475838272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2607541680 is a wasteful number, since it uses less digits than its factorization.

2607541680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10864773 (or 10864767 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2607541680 is about 51064.0938429343. The cubic root of 2607541680 is about 1376.3971130504.

The spelling of 2607541680 in words is "two billion, six hundred seven million, five hundred forty-one thousand, six hundred eighty".