2420241443334 has 288 divisors, whose sum is σ = 6247298154240. Its totient is φ = 671244537600.

The previous prime is 2420241443311. The next prime is 2420241443357. The reversal of 2420241443334 is 4333441420242.

2420241443334 is a `hidden beast` number, since 2 + 4 + 202 + 4 + 1 + 443 + 3 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2420241443311) and next prime (2420241443357).

It is a super-4 number, since 4×2420241443334⁴ (a number of 51 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2633559327 + ... + 2633560245.

It is an arithmetic number, because the mean of its divisors is an integer number (21692007480).

Almost surely, 2^{2420241443334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420241443334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123649077120).

2420241443334 is an abundant number, since it is smaller than the sum of its proper divisors (3827056710906).

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

2420241443334 is a wasteful number, since it uses less digits than its factorization.

2420241443334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 2420241443334 its reverse (4333441420242), we get a palindrome (6753682863576).

The spelling of 2420241443334 in words is "two trillion, four hundred twenty billion, two hundred forty-one million, four hundred forty-three thousand, three hundred thirty-four".