2448252764160 has 1024 divisors, whose sum is σ = 9983633356800. Its totient is φ = 498736300032.

The previous prime is 2448252764149. The next prime is 2448252764171. The reversal of 2448252764160 is 614672528442.

It is an interprime number because it is at equal distance from previous prime (2448252764149) and next prime (2448252764171).

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1111325619 + ... + 1111327821.

It is an arithmetic number, because the mean of its divisors is an integer number (9749641950).

Almost surely, 2^{2448252764160} is an apocalyptic number.

2448252764160 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 2448252764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991816678400).

2448252764160 is an abundant number, since it is smaller than the sum of its proper divisors (7535380592640).

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

2448252764160 is a wasteful number, since it uses less digits than its factorization.

2448252764160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 2448252764160 in words is "two trillion, four hundred forty-eight billion, two hundred fifty-two million, seven hundred sixty-four thousand, one hundred sixty".