2782716552720 has 240 divisors, whose sum is σ = 10073661911040. Its totient is φ = 684329554944.

The previous prime is 2782716552703. The next prime is 2782716552731. The reversal of 2782716552720 is 272556172872.

2782716552720 is a `hidden beast` number, since 2 + 7 + 8 + 2 + 7 + 16 + 552 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2782716552720² (a number of 26 digits) contains 22 as substring.

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, 9809841 + ... + 10089519.

It is an arithmetic number, because the mean of its divisors is an integer number (41973591296).

Almost surely, 2^{2782716552720} is an apocalyptic number.

2782716552720 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 2782716552720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5036830955520).

2782716552720 is an abundant number, since it is smaller than the sum of its proper divisors (7290945358320).

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

2782716552720 is a wasteful number, since it uses less digits than its factorization.

2782716552720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280774 (or 280765 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 2782716552720 in words is "two trillion, seven hundred eighty-two billion, seven hundred sixteen million, five hundred fifty-two thousand, seven hundred twenty".