2434334011120 has 160 divisors (see below), whose sum is σ = 6190231299840. Its totient is φ = 882939678720.

The previous prime is 2434334011069. The next prime is 2434334011139. The reversal of 2434334011120 is 211104334342.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 756707752 + ... + 756710968.

It is an arithmetic number, because the mean of its divisors is an integer number (38688945624).

Almost surely, 2^{2434334011120} is an apocalyptic number.

2434334011120 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 2434334011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095115649920).

2434334011120 is an abundant number, since it is smaller than the sum of its proper divisors (3755897288720).

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

2434334011120 is a wasteful number, since it uses less digits than its factorization.

2434334011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5183 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 2434334011120 its reverse (211104334342), we get a palindrome (2645438345462).

The spelling of 2434334011120 in words is "two trillion, four hundred thirty-four billion, three hundred thirty-four million, eleven thousand, one hundred twenty".