2986738560 has 192 divisors, whose sum is σ = 11107212480. Its totient is φ = 735178752.

The previous prime is 2986738553. The next prime is 2986738583. The reversal of 2986738560 is 658376892.

It is a happy number.

2986738560 is a `hidden beast` number, since 2 + 9 + 8 + 6 + 73 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2986738497 and 2986738506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54937 + ... + 94823.

It is an arithmetic number, because the mean of its divisors is an integer number (57850065).

Almost surely, 2^2986738560 is an apocalyptic number.

2986738560 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 2986738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553606240).

2986738560 is an abundant number, since it is smaller than the sum of its proper divisors (8120473920).

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

2986738560 is a wasteful number, since it uses less digits than its factorization.

2986738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39925 (or 39910 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2986738560 is about 54651.0618378088. The cubic root of 2986738560 is about 1440.1212860805.

The spelling of 2986738560 in words is "two billion, nine hundred eighty-six million, seven hundred thirty-eight thousand, five hundred sixty".