2685205440 has 336 divisors, whose sum is σ = 9612465408. Its totient is φ = 687439872.

The previous prime is 2685205433. The next prime is 2685205469. The reversal of 2685205440 is 445025862.

It is a happy number.

2685205440 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 205 + 440 = 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 = 2685205395 and 2685205404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12041169 + ... + 12041391.

It is an arithmetic number, because the mean of its divisors is an integer number (28608528).

Almost surely, 2^2685205440 is an apocalyptic number.

2685205440 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 2685205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806232704).

2685205440 is an abundant number, since it is smaller than the sum of its proper divisors (6927259968).

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

2685205440 is a wasteful number, since it uses less digits than its factorization.

2685205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2685205440 is about 51818.9679557592. The cubic root of 2685205440 is about 1389.9286473733.

The spelling of 2685205440 in words is "two billion, six hundred eighty-five million, two hundred five thousand, four hundred forty".