2782487282850 has 576 divisors, whose sum is σ = 8843931952128. Its totient is φ = 643829472000.

The previous prime is 2782487282753. The next prime is 2782487282851. The reversal of 2782487282850 is 582827842872.

2782487282850 is a `hidden beast` number, since 2 + 7 + 82 + 487 + 2 + 8 + 28 + 50 = 666.

It is not an unprimeable number, because it can be changed into a prime (2782487282851) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2376162765 + ... + 2376163935.

It is an arithmetic number, because the mean of its divisors is an integer number (15354048528).

Almost surely, 2^{2782487282850} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2782487282850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421965976064).

2782487282850 is an abundant number, since it is smaller than the sum of its proper divisors (6061444669278).

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

2782487282850 is a wasteful number, since it uses less digits than its factorization.

2782487282850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 64225280, while the sum is 63.

The spelling of 2782487282850 in words is "two trillion, seven hundred eighty-two billion, four hundred eighty-seven million, two hundred eighty-two thousand, eight hundred fifty".