2827962408960 has 1120 divisors, whose sum is σ = 11010091609440. Its totient is φ = 690263949312.

The previous prime is 2827962408883. The next prime is 2827962408977. The reversal of 2827962408960 is 698042697282.

2827962408960 is a `hidden beast` number, since 2 + 82 + 7 + 9 + 62 + 408 + 96 + 0 = 666.

It is a congruent 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 79 ways as a sum of consecutive naturals, for example, 7461642051 + ... + 7461642429.

It is an arithmetic number, because the mean of its divisors is an integer number (9830438937).

Almost surely, 2^{2827962408960} is an apocalyptic number.

2827962408960 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 2827962408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505045804720).

2827962408960 is an abundant number, since it is smaller than the sum of its proper divisors (8182129200480).

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

2827962408960 is a wasteful number, since it uses less digits than its factorization.

2827962408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 2827962408960 in words is "two trillion, eight hundred twenty-seven billion, nine hundred sixty-two million, four hundred eight thousand, nine hundred sixty".