2705016384 has 420 divisors, whose sum is σ = 9754233984. Its totient is φ = 737662464.

The previous prime is 2705016343. The next prime is 2705016403. The reversal of 2705016384 is 4836105072.

2705016384 is a `hidden beast` number, since 2 + 70 + 501 + 6 + 3 + 84 = 666.

It is a super-3 number, since 3×2705016384³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5842137 + ... + 5842599.

Almost surely, 2^2705016384 is an apocalyptic number.

2705016384 is a gapful number since it is divisible by the number (24) 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 2705016384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877116992).

2705016384 is an abundant number, since it is smaller than the sum of its proper divisors (7049217600).

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

2705016384 is a wasteful number, since it uses less digits than its factorization.

2705016384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2705016384 is about 52009.7720048839. The cubic root of 2705016384 is about 1393.3384866354.

It can be divided in two parts, 27050 and 16384, that added together give a palindrome (43434).

The spelling of 2705016384 in words is "two billion, seven hundred five million, sixteen thousand, three hundred eighty-four".