2424390721920 has 512 divisors, whose sum is σ = 9329895936000. Its totient is φ = 592717824000.

The previous prime is 2424390721919. The next prime is 2424390721933. The reversal of 2424390721920 is 291270934242.

2424390721920 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 390 + 72 + 192 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10058820 + ... + 10297020.

It is an arithmetic number, because the mean of its divisors is an integer number (18222453000).

Almost surely, 2^{2424390721920} is an apocalyptic number.

2424390721920 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 2424390721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664947968000).

2424390721920 is an abundant number, since it is smaller than the sum of its proper divisors (6905505214080).

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

2424390721920 is a wasteful number, since it uses less digits than its factorization.

2424390721920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238279 (or 238261 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2424390721920 in words is "two trillion, four hundred twenty-four billion, three hundred ninety million, seven hundred twenty-one thousand, nine hundred twenty".