2781284808960 has 288 divisors, whose sum is σ = 11279656039680. Its totient is φ = 635722186752.

The previous prime is 2781284808949. The next prime is 2781284808979. The reversal of 2781284808960 is 698084821872.

2781284808960 is a `hidden beast` number, since 2 + 7 + 8 + 12 + 8 + 480 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5506437 + ... + 5990276.

It is an arithmetic number, because the mean of its divisors is an integer number (39165472360).

Almost surely, 2^{2781284808960} is an apocalyptic number.

2781284808960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2781284808960 is an abundant number, since it is smaller than the sum of its proper divisors (8498371230720).

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

2781284808960 is a wasteful number, since it uses less digits than its factorization.

2781284808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11496750 (or 11496730 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 2781284808960 in words is "two trillion, seven hundred eighty-one billion, two hundred eighty-four million, eight hundred eight thousand, nine hundred sixty".