2434358620140 has 144 divisors (see below), whose sum is σ = 7077648668832. Its totient is φ = 625103806464.

The previous prime is 2434358620123. The next prime is 2434358620189. The reversal of 2434358620140 is 410268534342.

It is a super-2 number, since 2×2434358620140² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2434358620092 and 2434358620101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7814814 + ... + 8120346.

It is an arithmetic number, because the mean of its divisors is an integer number (49150337978).

Almost surely, 2^{2434358620140} is an apocalyptic number.

2434358620140 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 2434358620140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538824334416).

2434358620140 is an abundant number, since it is smaller than the sum of its proper divisors (4643290048692).

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

2434358620140 is a wasteful number, since it uses less digits than its factorization.

2434358620140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305716 (or 305677 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 2434358620140 in words is "two trillion, four hundred thirty-four billion, three hundred fifty-eight million, six hundred twenty thousand, one hundred forty".