2435340128256 has 1664 divisors, whose sum is σ = 9226342400000. Its totient is φ = 632073093120.

The previous prime is 2435340128213. The next prime is 2435340128267. The reversal of 2435340128256 is 6528210435342.

2435340128256 is a `hidden beast` number, since 2 + 4 + 35 + 340 + 1 + 28 + 256 = 666.

It is a super-3 number, since 3×2435340128256³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22342569930 + ... + 22342570038.

Almost surely, 2^{2435340128256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2435340128256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613171200000).

2435340128256 is an abundant number, since it is smaller than the sum of its proper divisors (6791002271744).

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

2435340128256 is a wasteful number, since it uses less digits than its factorization.

2435340128256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 2435340128256 in words is "two trillion, four hundred thirty-five billion, three hundred forty million, one hundred twenty-eight thousand, two hundred fifty-six".