288105486090240 has 2880 divisors, whose sum is σ = 1233053735760000. Its totient is φ = 56923885928448.

The previous prime is 288105486090203. The next prime is 288105486090269. The reversal of 288105486090240 is 42090684501882.

It is a super-2 number, since 2×288105486090240² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1447766261661 + ... + 1447766261859.

It is an arithmetic number, because the mean of its divisors is an integer number (428143658250).

Almost surely, 2^{288105486090240} is an apocalyptic number.

288105486090240 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 288105486090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616526867880000).

288105486090240 is an abundant number, since it is smaller than the sum of its proper divisors (944948249669760).

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

288105486090240 is an equidigital number, since it uses as much as digits as its factorization.

288105486090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 288105486090240 in words is "two hundred eighty-eight trillion, one hundred five billion, four hundred eighty-six million, ninety thousand, two hundred forty".