2169490441248 has 240 divisors, whose sum is σ = 6873815462976. Its totient is φ = 667282613760.

The previous prime is 2169490441247. The next prime is 2169490441271. The reversal of 2169490441248 is 8421440949612.

2169490441248 is a `hidden beast` number, since 2 + 1 + 6 + 94 + 90 + 441 + 24 + 8 = 666.

It is a super-3 number, since 3×2169490441248³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2169490441194 and 2169490441203.

It is not an unprimeable number, because it can be changed into a prime (2169490441247) 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 39 ways as a sum of consecutive naturals, for example, 101447965 + ... + 101469347.

Almost surely, 2^{2169490441248} 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 2169490441248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436907731488).

2169490441248 is an abundant number, since it is smaller than the sum of its proper divisors (4704325021728).

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

2169490441248 is a wasteful number, since it uses less digits than its factorization.

2169490441248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24429 (or 24412 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2169490441248 in words is "two trillion, one hundred sixty-nine billion, four hundred ninety million, four hundred forty-one thousand, two hundred forty-eight".