2685395520 has 336 divisors, whose sum is σ = 9579418992. Its totient is φ = 690094080.

The previous prime is 2685395519. The next prime is 2685395543. The reversal of 2685395520 is 255935862.

2685395520 is a `hidden beast` number, since 2 + 68 + 5 + 39 + 552 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 116122176 + 2569273344 = 10776^2 + 50688^2 .

It is a super-2 number, since 2×2685395520² = 14422698197672140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11142600 + ... + 11142840.

Almost surely, 2^2685395520 is an apocalyptic number.

2685395520 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 2685395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789709496).

2685395520 is an abundant number, since it is smaller than the sum of its proper divisors (6894023472).

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

2685395520 is a wasteful number, since it uses less digits than its factorization.

2685395520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 2685395520 is about 51820.8020007410. The cubic root of 2685395520 is about 1389.9614433002.

The spelling of 2685395520 in words is "two billion, six hundred eighty-five million, three hundred ninety-five thousand, five hundred twenty".