2434789231056 has 240 divisors, whose sum is σ = 8755134427200. Its totient is φ = 642142142208.

The previous prime is 2434789231051. The next prime is 2434789231067. The reversal of 2434789231056 is 6501329874342.

2434789231056 is a `hidden beast` number, since 2 + 4 + 3 + 478 + 92 + 31 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2434789230993 and 2434789231011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434789231051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4148746 + ... + 4699113.

It is an arithmetic number, because the mean of its divisors is an integer number (36479726780).

It is a 1-persistent number, because it is pandigital, but 2⋅2434789231056 = 4869578462112 is not.

Almost surely, 2^{2434789231056} is an apocalyptic number.

2434789231056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2434789231056 is an abundant number, since it is smaller than the sum of its proper divisors (6320345196144).

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

2434789231056 is a wasteful number, since it uses less digits than its factorization.

2434789231056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8847903 (or 8847884 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2434789231056 in words is "two trillion, four hundred thirty-four billion, seven hundred eighty-nine million, two hundred thirty-one thousand, fifty-six".