2787116640 has 384 divisors, whose sum is σ = 11106450432. Its totient is φ = 570654720.

The previous prime is 2787116639. The next prime is 2787116641. The reversal of 2787116640 is 466117872.

It is an interprime number because it is at equal distance from previous prime (2787116639) and next prime (2787116641).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2787116592 and 2787116601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2787116641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2697564 + ... + 2698596.

It is an arithmetic number, because the mean of its divisors is an integer number (28923048).

Almost surely, 2^2787116640 is an apocalyptic number.

2787116640 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 2787116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553225216).

2787116640 is an abundant number, since it is smaller than the sum of its proper divisors (8319333792).

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

2787116640 is a wasteful number, since it uses less digits than its factorization.

2787116640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 2787116640 is about 52793.1495556005. The cubic root of 2787116640 is about 1407.2946869910.

The spelling of 2787116640 in words is "two billion, seven hundred eighty-seven million, one hundred sixteen thousand, six hundred forty".