2448677952 has 336 divisors, whose sum is σ = 8449738752. Its totient is φ = 688642560.

The previous prime is 2448677951. The next prime is 2448677969. The reversal of 2448677952 is 2597768442.

2448677952 is a `hidden beast` number, since 2 + 4 + 486 + 77 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2448677952² = 11992047425221828608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2448677951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9035577 + ... + 9035847.

It is an arithmetic number, because the mean of its divisors is an integer number (25148032).

Almost surely, 2^2448677952 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 2448677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224869376).

2448677952 is an abundant number, since it is smaller than the sum of its proper divisors (6001060800).

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

2448677952 is an equidigital number, since it uses as much as digits as its factorization.

2448677952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 366 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 2448677952 is about 49484.1181794725. The cubic root of 2448677952 is about 1347.8572229153.

The spelling of 2448677952 in words is "two billion, four hundred forty-eight million, six hundred seventy-seven thousand, nine hundred fifty-two".