2424121590240 has 960 divisors, whose sum is σ = 10247185428480. Its totient is φ = 527668162560.

The previous prime is 2424121590223. The next prime is 2424121590337. The reversal of 2424121590240 is 420951214242.

2424121590240 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 1 + 21 + 590 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2424121590195 and 2424121590204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 498685410 + ... + 498690270.

It is an arithmetic number, because the mean of its divisors is an integer number (10674151488).

Almost surely, 2^{2424121590240} is an apocalyptic number.

2424121590240 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 2424121590240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5123592714240).

2424121590240 is an abundant number, since it is smaller than the sum of its proper divisors (7823063838240).

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

2424121590240 is a wasteful number, since it uses less digits than its factorization.

2424121590240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5157 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 2424121590240 in words is "two trillion, four hundred twenty-four billion, one hundred twenty-one million, five hundred ninety thousand, two hundred forty".