2685312000 has 880 divisors, whose sum is σ = 11746308288. Its totient is φ = 597196800.

The previous prime is 2685311969. The next prime is 2685312001. The reversal of 2685312000 is 2135862.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2685312001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72575982 + ... + 72576018.

Almost surely, 2^2685312000 is an apocalyptic number.

2685312000 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 2685312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5873154144).

2685312000 is an abundant number, since it is smaller than the sum of its proper divisors (9060996288).

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

2685312000 is an equidigital number, since it uses as much as digits as its factorization.

2685312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2685312000 is about 51819.9961404862. The cubic root of 2685312000 is about 1389.9470331593.

Adding to 2685312000 its reverse (2135862), we get a palindrome (2687447862).

The spelling of 2685312000 in words is "two billion, six hundred eighty-five million, three hundred twelve thousand".