2434240100 has 72 divisors (see below), whose sum is σ = 5577768000. Its totient is φ = 919555200.

The previous prime is 2434240093. The next prime is 2434240111. The reversal of 2434240100 is 10424342.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 661265 + ... + 664935.

It is an arithmetic number, because the mean of its divisors is an integer number (77469000).

Almost surely, 2^2434240100 is an apocalyptic number.

2434240100 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 2434240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788884000).

2434240100 is an abundant number, since it is smaller than the sum of its proper divisors (3143527900).

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

2434240100 is a wasteful number, since it uses less digits than its factorization.

2434240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4053 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2434240100 is about 49338.0188090280. The cubic root of 2434240100 is about 1345.2029286181.

Adding to 2434240100 its reverse (10424342), we get a palindrome (2444664442).

The spelling of 2434240100 in words is "two billion, four hundred thirty-four million, two hundred forty thousand, one hundred".