2827584979050 has 768 divisors, whose sum is σ = 8322379333632. Its totient is φ = 629727436800.

The previous prime is 2827584979039. The next prime is 2827584979067. The reversal of 2827584979050 is 509794857282.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12135557734 + ... + 12135557966.

It is an arithmetic number, because the mean of its divisors is an integer number (10836431424).

Almost surely, 2^{2827584979050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2827584979050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161189666816).

2827584979050 is an abundant number, since it is smaller than the sum of its proper divisors (5494794354582).

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

2827584979050 is a wasteful number, since it uses less digits than its factorization.

2827584979050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 66.

The spelling of 2827584979050 in words is "two trillion, eight hundred twenty-seven billion, five hundred eighty-four million, nine hundred seventy-nine thousand, fifty".