2610680474880 has 576 divisors, whose sum is σ = 9822384768000. Its totient is φ = 654772543488.

The previous prime is 2610680474873. The next prime is 2610680474887. The reversal of 2610680474880 is 884740860162.

2610680474880 is a `hidden beast` number, since 2 + 6 + 10 + 6 + 80 + 474 + 8 + 80 = 666.

2610680474880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2610680474873) and next prime (2610680474887).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2610680474880² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2610680474887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91258659 + ... + 91287261.

Almost surely, 2^{2610680474880} is an apocalyptic number.

2610680474880 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 2610680474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4911192384000).

2610680474880 is an abundant number, since it is smaller than the sum of its proper divisors (7211704293120).

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

2610680474880 is a wasteful number, since it uses less digits than its factorization.

2610680474880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28791 (or 28771 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 2610680474880 in words is "two trillion, six hundred ten billion, six hundred eighty million, four hundred seventy-four thousand, eight hundred eighty".