2280242555136 has 1440 divisors, whose sum is σ = 9150402336768. Its totient is φ = 547510026240.

The previous prime is 2280242555113. The next prime is 2280242555207. The reversal of 2280242555136 is 6315552420822.

2280242555136 is a `hidden beast` number, since 2 + 2 + 80 + 2 + 4 + 2 + 55 + 513 + 6 = 666.

It is a super-2 number, since 2×2280242555136² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2280242555091 and 2280242555100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 994435206 + ... + 994437498.

Almost surely, 2^{2280242555136} is an apocalyptic number.

2280242555136 is a gapful number since it is divisible by the number (26) 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 2280242555136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575201168384).

2280242555136 is an abundant number, since it is smaller than the sum of its proper divisors (6870159781632).

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

2280242555136 is a wasteful number, since it uses less digits than its factorization.

2280242555136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

Adding to 2280242555136 its reverse (6315552420822), we get a palindrome (8595794975958).

The spelling of 2280242555136 in words is "two trillion, two hundred eighty billion, two hundred forty-two million, five hundred fifty-five thousand, one hundred thirty-six".