2610442759680 has 960 divisors, whose sum is σ = 10486172556288. Its totient is φ = 587853987840.

The previous prime is 2610442759663. The next prime is 2610442759741. The reversal of 2610442759680 is 869572440162.

2610442759680 is a `hidden beast` number, since 2 + 6 + 1 + 0 + 4 + 42 + 7 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2610442759680² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4136992965 + ... + 4136993595.

Almost surely, 2^{2610442759680} is an apocalyptic number.

2610442759680 is a gapful number since it is divisible by the number (20) 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 2610442759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243086278144).

2610442759680 is an abundant number, since it is smaller than the sum of its proper divisors (7875729796608).

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

2610442759680 is a wasteful number, since it uses less digits than its factorization.

2610442759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2610442759680 in words is "two trillion, six hundred ten billion, four hundred forty-two million, seven hundred fifty-nine thousand, six hundred eighty".