2611540544352 has 96 divisors (see below), whose sum is σ = 6881349976704. Its totient is φ = 867206323200.

The previous prime is 2611540544341. The next prime is 2611540544369. The reversal of 2611540544352 is 2534450451162.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 145310727 + ... + 145328697.

It is an arithmetic number, because the mean of its divisors is an integer number (71680728924).

Almost surely, 2^{2611540544352} is an apocalyptic number.

It is an amenable number.

2611540544352 is an abundant number, since it is smaller than the sum of its proper divisors (4269809432352).

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

2611540544352 is a wasteful number, since it uses less digits than its factorization.

2611540544352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23652 (or 23644 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 2611540544352 in words is "two trillion, six hundred eleven billion, five hundred forty million, five hundred forty-four thousand, three hundred fifty-two".