2434220133440 has 112 divisors (see below), whose sum is σ = 5934073506480. Its totient is φ = 950840524800.

The previous prime is 2434220133407. The next prime is 2434220133467. The reversal of 2434220133440 is 443310224342.

It can be written as a sum of positive squares in 8 ways, for example, as 372744438784 + 2061475694656 = 610528^2 + 1435784^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2434220133397 and 2434220133406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1843496 + ... + 2875224.

It is an arithmetic number, because the mean of its divisors is an integer number (52982799165).

Almost surely, 2^{2434220133440} is an apocalyptic number.

2434220133440 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 2434220133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967036753240).

2434220133440 is an abundant number, since it is smaller than the sum of its proper divisors (3499853373040).

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

2434220133440 is a wasteful number, since it uses less digits than its factorization.

2434220133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031920 (or 1031910 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 2434220133440 its reverse (443310224342), we get a palindrome (2877530357782).

The spelling of 2434220133440 in words is "two trillion, four hundred thirty-four billion, two hundred twenty million, one hundred thirty-three thousand, four hundred forty".