2424442024960 has 176 divisors, whose sum is σ = 6185052095040. Its totient is φ = 909260881920.

The previous prime is 2424442024943. The next prime is 2424442024987. The reversal of 2424442024960 is 694202444242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9307695 + ... + 9564625.

Almost surely, 2^{2424442024960} is an apocalyptic number.

2424442024960 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 2424442024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092526047520).

2424442024960 is an abundant number, since it is smaller than the sum of its proper divisors (3760610070080).

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

2424442024960 is a wasteful number, since it uses less digits than its factorization.

2424442024960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257072 (or 257054 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 43.

The spelling of 2424442024960 in words is "two trillion, four hundred twenty-four billion, four hundred forty-two million, twenty-four thousand, nine hundred sixty".