2448551952 has 180 divisors, whose sum is σ = 8696269296. Its totient is φ = 635967360.

The previous prime is 2448551951. The next prime is 2448551977. The reversal of 2448551952 is 2591558442.

2448551952 is a `hidden beast` number, since 2 + 4 + 4 + 8 + 551 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2448551898 and 2448551907.

It is not an unprimeable number, because it can be changed into a prime (2448551951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61843 + ... + 93389.

Almost surely, 2^2448551952 is an apocalyptic number.

2448551952 is a gapful number since it is divisible by the number (22) 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 2448551952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348134648).

2448551952 is an abundant number, since it is smaller than the sum of its proper divisors (6247717344).

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

2448551952 is a wasteful number, since it uses less digits than its factorization.

2448551952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31586 (or 31570 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 2448551952 is about 49482.8450273426. The cubic root of 2448551952 is about 1347.8341039199.

The spelling of 2448551952 in words is "two billion, four hundred forty-eight million, five hundred fifty-one thousand, nine hundred fifty-two".