2613651278560 has 384 divisors, whose sum is σ = 7286361578496. Its totient is φ = 867348725760.

The previous prime is 2613651278549. The next prime is 2613651278627. The reversal of 2613651278560 is 658721563162.

It is a junction number, because it is equal to n+sod(n) for n = 2613651278498 and 2613651278507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5596683447 + ... + 5596683913.

It is an arithmetic number, because the mean of its divisors is an integer number (18974899944).

Almost surely, 2^{2613651278560} is an apocalyptic number.

2613651278560 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 2613651278560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643180789248).

2613651278560 is an abundant number, since it is smaller than the sum of its proper divisors (4672710299936).

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

2613651278560 is a wasteful number, since it uses less digits than its factorization.

2613651278560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 2613651278560 in words is "two trillion, six hundred thirteen billion, six hundred fifty-one million, two hundred seventy-eight thousand, five hundred sixty".