2478833035560 has 192 divisors, whose sum is σ = 9208904515200. Its totient is φ = 566479001088.

The previous prime is 2478833035537. The next prime is 2478833035589. The reversal of 2478833035560 is 655303388742.

It is a happy number.

2478833035560 is a `hidden beast` number, since 2 + 4 + 7 + 8 + 83 + 3 + 0 + 3 + 556 + 0 = 666.

It is a super-2 number, since 2×2478833035560² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2478833035497 and 2478833035506.

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, 13077946 + ... + 13266134.

It is an arithmetic number, because the mean of its divisors is an integer number (47963044350).

Almost surely, 2^{2478833035560} is an apocalyptic number.

2478833035560 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 2478833035560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604452257600).

2478833035560 is an abundant number, since it is smaller than the sum of its proper divisors (6730071479640).

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

2478833035560 is a wasteful number, since it uses less digits than its factorization.

2478833035560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193440 (or 193433 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 2478833035560 in words is "two trillion, four hundred seventy-eight billion, eight hundred thirty-three million, thirty-five thousand, five hundred sixty".