2409481285056 has 336 divisors, whose sum is σ = 7292186673408. Its totient is φ = 759144038400.

The previous prime is 2409481285031. The next prime is 2409481285069. The reversal of 2409481285056 is 6505821849042.

2409481285056 is a `hidden beast` number, since 2 + 4 + 0 + 9 + 4 + 8 + 128 + 505 + 6 = 666.

It is a super-2 number, since 2×2409481285056² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2409481284993 and 2409481285011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1247788411 + ... + 1247790341.

It is an arithmetic number, because the mean of its divisors is an integer number (21702936528).

Almost surely, 2^{2409481285056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2409481285056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646093336704).

2409481285056 is an abundant number, since it is smaller than the sum of its proper divisors (4882705388352).

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

2409481285056 is a wasteful number, since it uses less digits than its factorization.

2409481285056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 2409481285056 in words is "two trillion, four hundred nine billion, four hundred eighty-one million, two hundred eighty-five thousand, fifty-six".