2782080000 has 880 divisors, whose sum is σ = 12278069760. Its totient is φ = 608256000.

The previous prime is 2782079981. The next prime is 2782080011. The reversal of 2782080000 is 802872.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120959989 + ... + 120960011.

It is an arithmetic number, because the mean of its divisors is an integer number (13952352).

Almost surely, 2^2782080000 is an apocalyptic number.

2782080000 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 2782080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6139034880).

2782080000 is an abundant number, since it is smaller than the sum of its proper divisors (9495989760).

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

2782080000 is an equidigital number, since it uses as much as digits as its factorization.

2782080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2782080000 is about 52745.4263420062. The cubic root of 2782080000 is about 1406.4464614408.

Adding to 2782080000 its reverse (802872), we get a palindrome (2782882872).

The spelling of 2782080000 in words is "two billion, seven hundred eighty-two million, eighty thousand".