2420441242032 has 160 divisors (see below), whose sum is σ = 6845881835520. Its totient is φ = 730822498560.

The previous prime is 2420441242001. The next prime is 2420441242123. The reversal of 2420441242032 is 2302421440242.

It is a happy number.

It is a super-2 number, since 2×2420441242032² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177718519 + ... + 177732137.

It is an arithmetic number, because the mean of its divisors is an integer number (42786761472).

Almost surely, 2^{2420441242032} is an apocalyptic number.

2420441242032 is a gapful number since it is divisible by the number (22) 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 2420441242032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422940917760).

2420441242032 is an abundant number, since it is smaller than the sum of its proper divisors (4425440593488).

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

2420441242032 is a wasteful number, since it uses less digits than its factorization.

2420441242032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14831 (or 14825 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 2420441242032 its reverse (2302421440242), we get a palindrome (4722862682274).

The spelling of 2420441242032 in words is "two trillion, four hundred twenty billion, four hundred forty-one million, two hundred forty-two thousand, thirty-two".