2435775342 has 256 divisors, whose sum is σ = 6846916608. Its totient is φ = 557383680.

The previous prime is 2435775313. The next prime is 2435775373.

2435775342 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2435775294 and 2435775303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21555478 + ... + 21555590.

It is an arithmetic number, because the mean of its divisors is an integer number (26745768).

Almost surely, 2^2435775342 is an apocalyptic number.

2435775342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2435775342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423458304).

2435775342 is an abundant number, since it is smaller than the sum of its proper divisors (4411141266).

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

2435775342 is a wasteful number, since it uses less digits than its factorization.

2435775342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283.

The product of its digits is 705600, while the sum is 42.

The square root of 2435775342 is about 49353.5747641445. The cubic root of 2435775342 is about 1345.4856695605.

It can be divided in two parts, 24357 and 75342, that added together give a palindrome (99699).

The spelling of 2435775342 in words is "two billion, four hundred thirty-five million, seven hundred seventy-five thousand, three hundred forty-two".