2685493440 has 840 divisors, whose sum is σ = 11803331232. Its totient is φ = 567336960.

The previous prime is 2685493429. The next prime is 2685493441. The reversal of 2685493440 is 443945862.

2685493440 is a `hidden beast` number, since 2 + 68 + 549 + 3 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is not an unprimeable number, because it can be changed into a prime (2685493441) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65499820 + ... + 65499860.

Almost surely, 2^2685493440 is an apocalyptic number.

2685493440 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 2685493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901665616).

2685493440 is an abundant number, since it is smaller than the sum of its proper divisors (9117837792).

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

2685493440 is a wasteful number, since it uses less digits than its factorization.

2685493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2685493440 is about 51821.7467864602. The cubic root of 2685493440 is about 1389.9783375676.

The spelling of 2685493440 in words is "two billion, six hundred eighty-five million, four hundred ninety-three thousand, four hundred forty".