2435700423840 has 384 divisors, whose sum is σ = 8188419133440. Its totient is φ = 606466867200.

The previous prime is 2435700423817. The next prime is 2435700423847. The reversal of 2435700423840 is 483240075342.

2435700423840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2435700423792 and 2435700423801.

It is not an unprimeable number, because it can be changed into a prime (2435700423847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 637449130 + ... + 637452950.

It is an arithmetic number, because the mean of its divisors is an integer number (21324008160).

Almost surely, 2^{2435700423840} is an apocalyptic number.

2435700423840 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 2435700423840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094209566720).

2435700423840 is an abundant number, since it is smaller than the sum of its proper divisors (5752718709600).

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

2435700423840 is a wasteful number, since it uses less digits than its factorization.

2435700423840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 2435700423840 in words is "two trillion, four hundred thirty-five billion, seven hundred million, four hundred twenty-three thousand, eight hundred forty".