2480544000 has 864 divisors, whose sum is σ = 10445984640. Its totient is φ = 580608000.

The previous prime is 2480543999. The next prime is 2480544023. The reversal of 2480544000 is 4450842.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85535986 + ... + 85536014.

It is an arithmetic number, because the mean of its divisors is an integer number (12090260).

Almost surely, 2^2480544000 is an apocalyptic number.

2480544000 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 2480544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222992320).

2480544000 is an abundant number, since it is smaller than the sum of its proper divisors (7965440640).

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

2480544000 is an equidigital number, since it uses as much as digits as its factorization.

2480544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2480544000 is about 49805.0599839012. The cubic root of 2480544000 is about 1353.6788546185.

Adding to 2480544000 its reverse (4450842), we get a palindrome (2484994842).

The spelling of 2480544000 in words is "two billion, four hundred eighty million, five hundred forty-four thousand".