2409657361160 has 256 divisors, whose sum is σ = 6817849920000. Its totient is φ = 763592417280.

The previous prime is 2409657361099. The next prime is 2409657361207. The reversal of 2409657361160 is 611637569042.

It is a super-3 number, since 3×2409657361160³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2409657361099 and 2409657361108.

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, 10575152 + ... + 10800608.

It is an arithmetic number, because the mean of its divisors is an integer number (26632226250).

Almost surely, 2^{2409657361160} is an apocalyptic number.

2409657361160 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 2409657361160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408924960000).

2409657361160 is an abundant number, since it is smaller than the sum of its proper divisors (4408192558840).

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

2409657361160 is a wasteful number, since it uses less digits than its factorization.

2409657361160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225549 (or 225531 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 2409657361160 in words is "two trillion, four hundred nine billion, six hundred fifty-seven million, three hundred sixty-one thousand, one hundred sixty".