2449068480 has 448 divisors, whose sum is σ = 9117665280. Its totient is φ = 618098688.

The previous prime is 2449068469. The next prime is 2449068481. The reversal of 2449068480 is 848609442.

2449068480 is a `hidden beast` number, since 2 + 4 + 490 + 6 + 84 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2449068481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15024879 + ... + 15025041.

Almost surely, 2^2449068480 is an apocalyptic number.

2449068480 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 2449068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558832640).

2449068480 is an abundant number, since it is smaller than the sum of its proper divisors (6668596800).

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

2449068480 is a wasteful number, since it uses less digits than its factorization.

2449068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2449068480 is about 49488.0640154775. The cubic root of 2449068480 is about 1347.9288735523.

The spelling of 2449068480 in words is "two billion, four hundred forty-nine million, sixty-eight thousand, four hundred eighty".