2420004240024 has 128 divisors (see below), whose sum is σ = 7138997268480. Its totient is φ = 668970201600.

The previous prime is 2420004240011. The next prime is 2420004240041. The reversal of 2420004240024 is 4200424000242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2420004239976 and 2420004240003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23347834 + ... + 23451254.

It is an arithmetic number, because the mean of its divisors is an integer number (55773416160).

Almost surely, 2^{2420004240024} is an apocalyptic number.

2420004240024 is a gapful number since it is divisible by the number (24) 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 2420004240024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569498634240).

2420004240024 is an abundant number, since it is smaller than the sum of its proper divisors (4718993028456).

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

2420004240024 is a wasteful number, since it uses less digits than its factorization.

2420004240024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107961 (or 107957 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2420004240024 its reverse (4200424000242), we get a palindrome (6620428240266).

The spelling of 2420004240024 in words is "two trillion, four hundred twenty billion, four million, two hundred forty thousand, twenty-four".