2685430800 has 480 divisors, whose sum is σ = 10642652160. Its totient is φ = 638668800.

The previous prime is 2685430793. The next prime is 2685430801. The reversal of 2685430800 is 80345862.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2685430801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4352092 + ... + 4352708.

It is an arithmetic number, because the mean of its divisors is an integer number (22172192).

Almost surely, 2^2685430800 is an apocalyptic number.

2685430800 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 2685430800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5321326080).

2685430800 is an abundant number, since it is smaller than the sum of its proper divisors (7957221360).

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

2685430800 is a wasteful number, since it uses less digits than its factorization.

2685430800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2685430800 is about 51821.1424034631. The cubic root of 2685430800 is about 1389.9675302527.

The spelling of 2685430800 in words is "two billion, six hundred eighty-five million, four hundred thirty thousand, eight hundred".