2420242000 has 240 divisors, whose sum is σ = 6568235856. Its totient is φ = 861696000.

The previous prime is 2420241947. The next prime is 2420242001. The reversal of 2420242000 is 2420242.

It can be written as a sum of positive squares in 8 ways, for example, as 613651984 + 1806590016 = 24772^2 + 42504^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420242001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17665932 + ... + 17666068.

Almost surely, 2^2420242000 is an apocalyptic number.

2420242000 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 2420242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284117928).

2420242000 is an abundant number, since it is smaller than the sum of its proper divisors (4147993856).

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

2420242000 is a wasteful number, since it uses less digits than its factorization.

2420242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2420242000 is about 49195.9551182818. The cubic root of 2420242000 is about 1342.6194399153.

Adding to 2420242000 its reverse (2420242), we get a palindrome (2422662242).

2420242000 divided by its reverse (2420242) gives a cube (1000 = 10³).

It can be divided in two parts, 2420 and 242000, that multiplied together give a square (585640000 = 24200²).

The spelling of 2420242000 in words is "two billion, four hundred twenty million, two hundred forty-two thousand".