2480368680 has 384 divisors, whose sum is σ = 9128246400. Its totient is φ = 580386816.

The previous prime is 2480368651. The next prime is 2480368687. The reversal of 2480368680 is 868630842.

It is a happy number.

2480368680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2480368687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9651112 + ... + 9651368.

It is an arithmetic number, because the mean of its divisors is an integer number (23771475).

Almost surely, 2^2480368680 is an apocalyptic number.

2480368680 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 2480368680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564123200).

2480368680 is an abundant number, since it is smaller than the sum of its proper divisors (6647877720).

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

2480368680 is a wasteful number, since it uses less digits than its factorization.

2480368680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2480368680 is about 49803.2998906699. The cubic root of 2480368680 is about 1353.6469620755.

The spelling of 2480368680 in words is "two billion, four hundred eighty million, three hundred sixty-eight thousand, six hundred eighty".