2827782880 has 96 divisors (see below), whose sum is σ = 7286025600. Its totient is φ = 1030828032.

The previous prime is 2827782877. The next prime is 2827782883. The reversal of 2827782880 is 882877282.

It is an interprime number because it is at equal distance from previous prime (2827782877) and next prime (2827782883).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2827782883) 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, 155716 + ... + 172924.

It is an arithmetic number, because the mean of its divisors is an integer number (75896100).

Almost surely, 2^2827782880 is an apocalyptic number.

2827782880 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 2827782880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643012800).

2827782880 is an abundant number, since it is smaller than the sum of its proper divisors (4458242720).

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

2827782880 is a wasteful number, since it uses less digits than its factorization.

2827782880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17316 (or 17308 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 52.

The square root of 2827782880 is about 53176.9017525467. The cubic root of 2827782880 is about 1414.1061800953.

The spelling of 2827782880 in words is "two billion, eight hundred twenty-seven million, seven hundred eighty-two thousand, eight hundred eighty".