2480200464 has 240 divisors, whose sum is σ = 7730130240. Its totient is φ = 682859520.

The previous prime is 2480200453. The next prime is 2480200493. The reversal of 2480200464 is 4640020842.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8464702 + ... + 8464994.

It is an arithmetic number, because the mean of its divisors is an integer number (32208876).

Almost surely, 2^2480200464 is an apocalyptic number.

2480200464 is a gapful number since it is divisible by the number (24) 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 2480200464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865065120).

2480200464 is an abundant number, since it is smaller than the sum of its proper divisors (5249929776).

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

2480200464 is a wasteful number, since it uses less digits than its factorization.

2480200464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 2480200464 is about 49801.6110582780. The cubic root of 2480200464 is about 1353.6163604118.

The spelling of 2480200464 in words is "two billion, four hundred eighty million, two hundred thousand, four hundred sixty-four".