2986014240 has 384 divisors, whose sum is σ = 11774730240. Its totient is φ = 700185600.

The previous prime is 2986014191. The next prime is 2986014253. The reversal of 2986014240 is 424106892.

2986014240 is a `hidden beast` number, since 2 + 9 + 8 + 601 + 4 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2986014195 and 2986014204.

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 63 ways as a sum of consecutive naturals, for example, 1472107 + ... + 1474133.

It is an arithmetic number, because the mean of its divisors is an integer number (30663360).

Almost surely, 2^2986014240 is an apocalyptic number.

2986014240 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 2986014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5887365120).

2986014240 is an abundant number, since it is smaller than the sum of its proper divisors (8788716000).

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

2986014240 is a wasteful number, since it uses less digits than its factorization.

2986014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2986014240 is about 54644.4346663043. The cubic root of 2986014240 is about 1440.0048610947.

It can be divided in two parts, 29860 and 14240, that added together give a square (44100 = 210²).

The spelling of 2986014240 in words is "two billion, nine hundred eighty-six million, fourteen thousand, two hundred forty".