2611546200648 has 768 divisors, whose sum is σ = 9629238528000. Its totient is φ = 618731642880.

The previous prime is 2611546200629. The next prime is 2611546200661. The reversal of 2611546200648 is 8460026451162.

It is a happy number.

2611546200648 is a `hidden beast` number, since 2 + 6 + 1 + 15 + 4 + 620 + 0 + 6 + 4 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 414593803 + ... + 414600101.

It is an arithmetic number, because the mean of its divisors is an integer number (12538071000).

Almost surely, 2^{2611546200648} is an apocalyptic number.

2611546200648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2611546200648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814619264000).

2611546200648 is an abundant number, since it is smaller than the sum of its proper divisors (7017692327352).

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

2611546200648 is a wasteful number, since it uses less digits than its factorization.

2611546200648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482 (or 6475 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2611546200648 in words is "two trillion, six hundred eleven billion, five hundred forty-six million, two hundred thousand, six hundred forty-eight".