2448235152000 has 1024 divisors, whose sum is σ = 9936802137600. Its totient is φ = 587520000000.

The previous prime is 2448235151893. The next prime is 2448235152001. The reversal of 2448235152000 is 2515328442.

2448235152000 is a `hidden beast` number, since 2 + 4 + 4 + 82 + 3 + 51 + 520 + 0 + 0 = 666.

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 (2448235152001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 479949450 + ... + 479954550.

Almost surely, 2^{2448235152000} is an apocalyptic number.

2448235152000 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 2448235152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968401068800).

2448235152000 is an abundant number, since it is smaller than the sum of its proper divisors (7488566985600).

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

2448235152000 is a wasteful number, since it uses less digits than its factorization.

2448235152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5251 (or 5223 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 2448235152000 in words is "two trillion, four hundred forty-eight billion, two hundred thirty-five million, one hundred fifty-two thousand".