2424742332480 has 336 divisors, whose sum is σ = 9010027104624. Its totient is φ = 594973900800.

The previous prime is 2424742332473. The next prime is 2424742332499. The reversal of 2424742332480 is 842332474242.

2424742332480 is a `hidden beast` number, since 2 + 4 + 247 + 4 + 2 + 3 + 324 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 108599247936 + 2316143084544 = 329544^2 + 1521888^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11766330 + ... + 11970630.

It is an arithmetic number, because the mean of its divisors is an integer number (26815556859).

Almost surely, 2^{2424742332480} is an apocalyptic number.

2424742332480 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 2424742332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505013552312).

2424742332480 is an abundant number, since it is smaller than the sum of its proper divisors (6585284772144).

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

2424742332480 is a wasteful number, since it uses less digits than its factorization.

2424742332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204654 (or 204641 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 45.

The spelling of 2424742332480 in words is "two trillion, four hundred twenty-four billion, seven hundred forty-two million, three hundred thirty-two thousand, four hundred eighty".