2782126080 has 168 divisors, whose sum is σ = 9645392952. Its totient is φ = 741801984.

The previous prime is 2782126057. The next prime is 2782126111. The reversal of 2782126080 is 806212872.

It is a happy number.

2782126080 is a `hidden beast` number, since 27 + 8 + 21 + 2 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364867 + ... + 372413.

Almost surely, 2^2782126080 is an apocalyptic number.

2782126080 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 2782126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822696476).

2782126080 is an abundant number, since it is smaller than the sum of its proper divisors (6863266872).

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

2782126080 is an equidigital number, since it uses as much as digits as its factorization.

2782126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7584 (or 7557 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2782126080 is about 52745.8631553224. The cubic root of 2782126080 is about 1406.4542264577.

The spelling of 2782126080 in words is "two billion, seven hundred eighty-two million, one hundred twenty-six thousand, eighty".