2480868000 has 960 divisors, whose sum is σ = 10655124480. Its totient is φ = 559872000.

The previous prime is 2480867971. The next prime is 2480868007. The reversal of 2480868000 is 8680842.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2480868007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80027985 + ... + 80028015.

It is an arithmetic number, because the mean of its divisors is an integer number (11099088).

Almost surely, 2^2480868000 is an apocalyptic number.

2480868000 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 2480868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5327562240).

2480868000 is an abundant number, since it is smaller than the sum of its proper divisors (8174256480).

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

2480868000 is a wasteful number, since it uses less digits than its factorization.

2480868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2480868000 is about 49808.3125592506. The cubic root of 2480868000 is about 1353.7377896551.

The spelling of 2480868000 in words is "two billion, four hundred eighty million, eight hundred sixty-eight thousand".