2446480512 has 192 divisors, whose sum is σ = 8160946560. Its totient is φ = 688988160.

The previous prime is 2446480511. The next prime is 2446480601. The reversal of 2446480512 is 2150846442.

2446480512 is a `hidden beast` number, since 2 + 4 + 4 + 64 + 80 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2446480511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570408 + ... + 574680.

It is an arithmetic number, because the mean of its divisors is an integer number (42504930).

Almost surely, 2^2446480512 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 2446480512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080473280).

2446480512 is an abundant number, since it is smaller than the sum of its proper divisors (5714466048).

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

2446480512 is a wasteful number, since it uses less digits than its factorization.

2446480512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4371 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2446480512 is about 49461.9097083807. The cubic root of 2446480512 is about 1347.4539138837.

It can be divided in two parts, 24464 and 80512, that added together give a 4-th power (104976 = 18⁴).

The spelling of 2446480512 in words is "two billion, four hundred forty-six million, four hundred eighty thousand, five hundred twelve".