2448169920 has 560 divisors, whose sum is σ = 10125992448. Its totient is φ = 549918720.

The previous prime is 2448169897. The next prime is 2448169939. The reversal of 2448169920 is 299618442.

2448169920 is a `hidden beast` number, since 24 + 481 + 69 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-3 number, since 3×2448169920³ (a number of 29 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18688255 + ... + 18688385.

Almost surely, 2^2448169920 is an apocalyptic number.

2448169920 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 2448169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062996224).

2448169920 is an abundant number, since it is smaller than the sum of its proper divisors (7677822528).

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

2448169920 is a wasteful number, since it uses less digits than its factorization.

2448169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2448169920 is about 49478.9846298406. The cubic root of 2448169920 is about 1347.7640022774.

The spelling of 2448169920 in words is "two billion, four hundred forty-eight million, one hundred sixty-nine thousand, nine hundred twenty".