2781906068880 has 240 divisors, whose sum is σ = 9519656328000. Its totient is φ = 727829627904.

The previous prime is 2781906068819. The next prime is 2781906068897. The reversal of 2781906068880 is 888606091872.

2781906068880 is a `hidden beast` number, since 2 + 7 + 8 + 19 + 0 + 606 + 8 + 8 + 8 + 0 = 666.

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

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, 21557991 + ... + 21686649.

It is an arithmetic number, because the mean of its divisors is an integer number (39665234700).

Almost surely, 2^{2781906068880} is an apocalyptic number.

2781906068880 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 2781906068880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4759828164000).

2781906068880 is an abundant number, since it is smaller than the sum of its proper divisors (6737750259120).

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

2781906068880 is a wasteful number, since it uses less digits than its factorization.

2781906068880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129246 (or 129237 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 2781906068880 in words is "two trillion, seven hundred eighty-one billion, nine hundred six million, sixty-eight thousand, eight hundred eighty".