2434068900 has 144 divisors (see below), whose sum is σ = 7991988480. Its totient is φ = 635241600.

The previous prime is 2434068899. The next prime is 2434068907. The reversal of 2434068900 is 98604342.

It is a happy number.

2434068900 is a `hidden beast` number, since 243 + 406 + 8 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2434068907) 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 47 ways as a sum of consecutive naturals, for example, 117310 + ... + 136490.

It is an arithmetic number, because the mean of its divisors is an integer number (55499920).

Almost surely, 2^2434068900 is an apocalyptic number.

2434068900 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 2434068900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995994240).

2434068900 is an abundant number, since it is smaller than the sum of its proper divisors (5557919580).

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

2434068900 is a wasteful number, since it uses less digits than its factorization.

2434068900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19251 (or 19238 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2434068900 is about 49336.2838081670. The cubic root of 2434068900 is about 1345.1713918577.

The spelling of 2434068900 in words is "two billion, four hundred thirty-four million, sixty-eight thousand, nine hundred".