2420368000 has 64 divisors (see below), whose sum is σ = 6017679720. Its totient is φ = 968140800.

The previous prime is 2420367967. The next prime is 2420368001. The reversal of 2420368000 is 8630242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1475174464 + 945193536 = 38408^2 + 30744^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2420368001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59637 + ... + 91636.

Almost surely, 2^2420368000 is an apocalyptic number.

2420368000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420368000 is an abundant number, since it is smaller than the sum of its proper divisors (3597311720).

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

2420368000 is an equidigital number, since it uses as much as digits as its factorization.

2420368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151302 (or 151280 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2420368000 is about 49197.2356947014. The cubic root of 2420368000 is about 1342.6427388407.

Adding to 2420368000 its reverse (8630242), we get a palindrome (2428998242).

The spelling of 2420368000 in words is "two billion, four hundred twenty million, three hundred sixty-eight thousand".