2488320000 has 450 divisors, whose sum is σ = 9315133828. Its totient is φ = 663552000.

The previous prime is 2488319983. The next prime is 2488320007. The reversal of 2488320000 is 238842.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (5!)³ ⋅ 2!.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2488320007) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 497663998 + ... + 497664002.

Almost surely, 2^2488320000 is an apocalyptic number.

2488320000 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 2488320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4657566914).

2488320000 is an abundant number, since it is smaller than the sum of its proper divisors (6826813828).

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

2488320000 is an frugal number, since it uses more digits than its factorization.

2488320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2488320000 is about 49883.0632579837. The cubic root of 2488320000 is about 1355.0918815887.

Multiplying 2488320000 by its sum of digits (27), we get a square (67184640000 = 259200²).

2488320000 divided by its sum of digits (27) gives a square (92160000 = 9600²).

Multiplying 2488320000 by its product of nonzero digits (3072), we get a square (7644119040000 = 2764800²).

2488320000 divided by its product of nonzero digits (3072) gives a 4-th power (810000 = 30⁴).

Adding to 2488320000 its reverse (238842), we get a palindrome (2488558842).

The spelling of 2488320000 in words is "two billion, four hundred eighty-eight million, three hundred twenty thousand".