2623480917120 has 288 divisors, whose sum is σ = 10538262968220. Its totient is φ = 599652716544.

The previous prime is 2623480917097. The next prime is 2623480917121. The reversal of 2623480917120 is 217190843262.

2623480917120 is a `hidden beast` number, since 2 + 62 + 3 + 480 + 91 + 7 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2623389217344 + 91699776 = 1619688^2 + 9576^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2623480917121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4365367 + ... + 4929846.

Almost surely, 2^{2623480917120} is an apocalyptic number.

2623480917120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2623480917120 is an abundant number, since it is smaller than the sum of its proper divisors (7914782051100).

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

2623480917120 is a wasteful number, since it uses less digits than its factorization.

2623480917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9295252 (or 9295230 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2623480917120 in words is "two trillion, six hundred twenty-three billion, four hundred eighty million, nine hundred seventeen thousand, one hundred twenty".