2480516807040 has 768 divisors, whose sum is σ = 9165168792000. Its totient is φ = 616392032256.

The previous prime is 2480516807023. The next prime is 2480516807051. The reversal of 2480516807040 is 407086150842.

2480516807040 is a `hidden beast` number, since 2 + 480 + 5 + 1 + 68 + 0 + 70 + 40 = 666.

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

It is a congruent number.

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, 2269456734 + ... + 2269457826.

Almost surely, 2^{2480516807040} is an apocalyptic number.

2480516807040 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 2480516807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4582584396000).

2480516807040 is an abundant number, since it is smaller than the sum of its proper divisors (6684651984960).

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

2480516807040 is a wasteful number, since it uses less digits than its factorization.

2480516807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 2480516807040 in words is "two trillion, four hundred eighty billion, five hundred sixteen million, eight hundred seven thousand, forty".