2448946656 has 192 divisors, whose sum is σ = 7857561600. Its totient is φ = 737330688.

The previous prime is 2448946603. The next prime is 2448946663. The reversal of 2448946656 is 6566498442.

2448946656 is a `hidden beast` number, since 2 + 448 + 94 + 66 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 525585 + ... + 530223.

It is an arithmetic number, because the mean of its divisors is an integer number (40924800).

Almost surely, 2^2448946656 is an apocalyptic number.

2448946656 is a gapful number since it is divisible by the number (26) 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 2448946656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928780800).

2448946656 is an abundant number, since it is smaller than the sum of its proper divisors (5408614944).

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

2448946656 is a wasteful number, since it uses less digits than its factorization.

2448946656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718 (or 4704 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The square root of 2448946656 is about 49486.8331579219. The cubic root of 2448946656 is about 1347.9065231755.

The spelling of 2448946656 in words is "two billion, four hundred forty-eight million, nine hundred forty-six thousand, six hundred fifty-six".