2420136000 has 168 divisors, whose sum is σ = 8657487384. Its totient is φ = 645350400.

The previous prime is 2420135999. The next prime is 2420136013. The reversal of 2420136000 is 6310242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 287913024 + 2132222976 = 16968^2 + 46176^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55194 + ... + 88806.

It is an arithmetic number, because the mean of its divisors is an integer number (51532663).

Almost surely, 2^2420136000 is an apocalyptic number.

2420136000 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 2420136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328743692).

2420136000 is an abundant number, since it is smaller than the sum of its proper divisors (6237351384).

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

2420136000 is a wasteful number, since it uses less digits than its factorization.

2420136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33646 (or 33623 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2420136000 is about 49194.8777821431. The cubic root of 2420136000 is about 1342.5998386057.

Adding to 2420136000 its reverse (6310242), we get a palindrome (2426446242).

The spelling of 2420136000 in words is "two billion, four hundred twenty million, one hundred thirty-six thousand".