2435420000 has 480 divisors, whose sum is σ = 7439493600. Its totient is φ = 774144000.

The previous prime is 2435419999. The next prime is 2435420003. The reversal of 2435420000 is 245342.

It is a super-3 number, since 3×2435420000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2435420003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83979986 + ... + 83980014.

It is an arithmetic number, because the mean of its divisors is an integer number (15498945).

Almost surely, 2^2435420000 is an apocalyptic number.

2435420000 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 2435420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719746800).

2435420000 is an abundant number, since it is smaller than the sum of its proper divisors (5004073600).

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

2435420000 is a wasteful number, since it uses less digits than its factorization.

2435420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2435420000 is about 49349.9746707129. The cubic root of 2435420000 is about 1345.4202378529.

Adding to 2435420000 its reverse (245342), we get a palindrome (2435665342).

The spelling of 2435420000 in words is "two billion, four hundred thirty-five million, four hundred twenty thousand".