2610555816960 has 2640 divisors, whose sum is σ = 12296958100416. Its totient is φ = 516742447104.

The previous prime is 2610555816931. The next prime is 2610555816983. The reversal of 2610555816960 is 696185550162.

2610555816960 is a `hidden beast` number, since 2 + 6 + 1 + 0 + 55 + 581 + 6 + 9 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2610555816897 and 2610555816906.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8340433764 + ... + 8340434076.

Almost surely, 2^{2610555816960} is an apocalyptic number.

2610555816960 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 2610555816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148479050208).

2610555816960 is an abundant number, since it is smaller than the sum of its proper divisors (9686402283456).

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

2610555816960 is a wasteful number, since it uses less digits than its factorization.

2610555816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 2610555816960 in words is "two trillion, six hundred ten billion, five hundred fifty-five million, eight hundred sixteen thousand, nine hundred sixty".