2986289628480 has 336 divisors, whose sum is σ = 10500432353424. Its totient is φ = 778753474560.

The previous prime is 2986289628461. The next prime is 2986289628493. The reversal of 2986289628480 is 848269826892.

2986289628480 is a `hidden beast` number, since 2 + 9 + 8 + 6 + 2 + 89 + 62 + 8 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 277315985664 + 2708973642816 = 526608^2 + 1645896^2 .

It is a super-2 number, since 2×2986289628480² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2986289628399 and 2986289628408.

It is a congruent number.

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, 30343512 + ... + 30441768.

Almost surely, 2^{2986289628480} is an apocalyptic number.

2986289628480 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 2986289628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5250216176712).

2986289628480 is an abundant number, since it is smaller than the sum of its proper divisors (7514142724944).

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

2986289628480 is a wasteful number, since it uses less digits than its factorization.

2986289628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98514 (or 98501 counting only the distinct ones).

The product of its (nonzero) digits is 382205952, while the sum is 72.

The spelling of 2986289628480 in words is "two trillion, nine hundred eighty-six billion, two hundred eighty-nine million, six hundred twenty-eight thousand, four hundred eighty".