2787807680 has 224 divisors, whose sum is σ = 8247644160. Its totient is φ = 875888640.

The previous prime is 2787807677. The next prime is 2787807683. The reversal of 2787807680 is 867087872.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2787807677) and next prime (2787807683).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2787807683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1318304 + ... + 1320416.

It is an arithmetic number, because the mean of its divisors is an integer number (36819840).

Almost surely, 2^2787807680 is an apocalyptic number.

2787807680 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 2787807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123822080).

2787807680 is an abundant number, since it is smaller than the sum of its proper divisors (5459836480).

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

2787807680 is a wasteful number, since it uses less digits than its factorization.

2787807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 53.

The square root of 2787807680 is about 52799.6939385069. The cubic root of 2787807680 is about 1407.4109859818.

The spelling of 2787807680 in words is "two billion, seven hundred eighty-seven million, eight hundred seven thousand, six hundred eighty".