2716480509120 has 336 divisors, whose sum is σ = 11022821142528. Its totient is φ = 600880343040.

The previous prime is 2716480509077. The next prime is 2716480509121. The reversal of 2716480509120 is 219050846172.

2716480509120 is a `hidden beast` number, since 2 + 7 + 1 + 64 + 80 + 509 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (2716480509121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1548364 + ... + 2798283.

Almost surely, 2^{2716480509120} is an apocalyptic number.

2716480509120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2716480509120 is an abundant number, since it is smaller than the sum of its proper divisors (8306340633408).

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

2716480509120 is a wasteful number, since it uses less digits than its factorization.

2716480509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4346708 (or 4346695 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2716480509120 in words is "two trillion, seven hundred sixteen billion, four hundred eighty million, five hundred nine thousand, one hundred twenty".