2611484801856 has 896 divisors, whose sum is σ = 9531061862400. Its totient is φ = 684738109440.

The previous prime is 2611484801837. The next prime is 2611484801923. The reversal of 2611484801856 is 6581084841162.

2611484801856 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 484 + 80 + 1 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 1395768601 + ... + 1395770471.

Almost surely, 2^{2611484801856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2611484801856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765530931200).

2611484801856 is an abundant number, since it is smaller than the sum of its proper divisors (6919577060544).

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

2611484801856 is a wasteful number, since it uses less digits than its factorization.

2611484801856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 2611484801856 in words is "two trillion, six hundred eleven billion, four hundred eighty-four million, eight hundred one thousand, eight hundred fifty-six".