2688845040 has 480 divisors, whose sum is σ = 11132858880. Its totient is φ = 567834624.

The previous prime is 2688845017. The next prime is 2688845053. The reversal of 2688845040 is 405488862.

2688845040 is a `hidden beast` number, since 2 + 68 + 8 + 84 + 504 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 4117354 + ... + 4118006.

It is an arithmetic number, because the mean of its divisors is an integer number (23193456).

Almost surely, 2^2688845040 is an apocalyptic number.

2688845040 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 2688845040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566429440).

2688845040 is an abundant number, since it is smaller than the sum of its proper divisors (8444013840).

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

2688845040 is a wasteful number, since it uses less digits than its factorization.

2688845040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 732 counting only the distinct ones).

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

The square root of 2688845040 is about 51854.0744782896. The cubic root of 2688845040 is about 1390.5563461389.

The spelling of 2688845040 in words is "two billion, six hundred eighty-eight million, eight hundred forty-five thousand, forty".