2420442024 has 384 divisors, whose sum is σ = 8514979200. Its totient is φ = 563189760.

The previous prime is 2420442023. The next prime is 2420442029. The reversal of 2420442024 is 4202440242.

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 = 2420441985 and 2420442003.

It is not an unprimeable number, because it can be changed into a prime (2420442023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6222022 + ... + 6222410.

It is an arithmetic number, because the mean of its divisors is an integer number (22174425).

Almost surely, 2^2420442024 is an apocalyptic number.

2420442024 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 2420442024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257489600).

2420442024 is an abundant number, since it is smaller than the sum of its proper divisors (6094537176).

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

2420442024 is a wasteful number, since it uses less digits than its factorization.

2420442024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

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

The square root of 2420442024 is about 49197.9880076411. The cubic root of 2420442024 is about 1342.6564263975.

Adding to 2420442024 its reverse (4202440242), we get a palindrome (6622882266).

It can be divided in two parts, 2420 and 442024, that added together give a palindrome (444444).

The spelling of 2420442024 in words is "two billion, four hundred twenty million, four hundred forty-two thousand, twenty-four".