2986312256640 has 768 divisors, whose sum is σ = 10801523865600. Its totient is φ = 759395450880.

The previous prime is 2986312256617. The next prime is 2986312256651. The reversal of 2986312256640 is 466522136892.

2986312256640 is a `hidden beast` number, since 2 + 9 + 8 + 6 + 31 + 2 + 2 + 566 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7301496756 + ... + 7301497164.

It is an arithmetic number, because the mean of its divisors is an integer number (14064484200).

Almost surely, 2^{2986312256640} is an apocalyptic number.

2986312256640 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 2986312256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400761932800).

2986312256640 is an abundant number, since it is smaller than the sum of its proper divisors (7815211608960).

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

2986312256640 is a wasteful number, since it uses less digits than its factorization.

2986312256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2986312256640 in words is "two trillion, nine hundred eighty-six billion, three hundred twelve million, two hundred fifty-six thousand, six hundred forty".