2787997872 has 80 divisors (see below), whose sum is σ = 7880245632. Its totient is φ = 842357760.

The previous prime is 2787997871. The next prime is 2787997873.

2787997872 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2787997871) and next prime (2787997873).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (2787997871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175608 + ... + 190824.

Almost surely, 2^2787997872 is an apocalyptic number.

2787997872 is a gapful number since it is divisible by the number (22) 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 2787997872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940122816).

2787997872 is an abundant number, since it is smaller than the sum of its proper divisors (5092247760).

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

2787997872 is a wasteful number, since it uses less digits than its factorization.

2787997872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15586 (or 15580 counting only the distinct ones).

The product of its digits is 49787136, while the sum is 66.

The square root of 2787997872 is about 52801.4949788356. The cubic root of 2787997872 is about 1407.4429910857.

It can be divided in two parts, 27879 and 97872, that added together give a triangular number (125751 = T₅₀₁).

The spelling of 2787997872 in words is "two billion, seven hundred eighty-seven million, nine hundred ninety-seven thousand, eight hundred seventy-two".