2442463752960 has 3456 divisors, whose sum is σ = 11864801894400. Its totient is φ = 469038366720.

The previous prime is 2442463752947. The next prime is 2442463753043. The reversal of 2442463752960 is 692573642442.

2442463752960 is a `hidden beast` number, since 2 + 4 + 4 + 24 + 6 + 37 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a junction number, because it is equal to n+sod(n) for n = 2442463752897 and 2442463752906.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23713240269 + ... + 23713240371.

It is an arithmetic number, because the mean of its divisors is an integer number (3433102400).

Almost surely, 2^{2442463752960} is an apocalyptic number.

2442463752960 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 2442463752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5932400947200).

2442463752960 is an abundant number, since it is smaller than the sum of its proper divisors (9422338141440).

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

2442463752960 is a wasteful number, since it uses less digits than its factorization.

2442463752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 2442463752960 in words is "two trillion, four hundred forty-two billion, four hundred sixty-three million, seven hundred fifty-two thousand, nine hundred sixty".