2685484800 has 216 divisors, whose sum is σ = 9848032880. Its totient is φ = 716083200.

The previous prime is 2685484787. The next prime is 2685484811. The reversal of 2685484800 is 84845862.

2685484800 is a `hidden beast` number, since 2 + 68 + 548 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×2685484800² = 14423657222062080000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165030 + ... + 180570.

Almost surely, 2^2685484800 is an apocalyptic number.

2685484800 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 2685484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924016440).

2685484800 is an abundant number, since it is smaller than the sum of its proper divisors (7162548080).

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

2685484800 is a wasteful number, since it uses less digits than its factorization.

2685484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15576 (or 15551 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 2685484800 is about 51821.6634237073. The cubic root of 2685484800 is about 1389.9768469135.

The spelling of 2685484800 in words is "two billion, six hundred eighty-five million, four hundred eighty-four thousand, eight hundred".