2782428726 has 256 divisors, whose sum is σ = 7807352832. Its totient is φ = 638668800.

The previous prime is 2782428707. The next prime is 2782428767. The reversal of 2782428726 is 6278242872.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13186761 + ... + 13186971.

It is an arithmetic number, because the mean of its divisors is an integer number (30497472).

Almost surely, 2^2782428726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2782428726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903676416).

2782428726 is an abundant number, since it is smaller than the sum of its proper divisors (5024924106).

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

2782428726 is a wasteful number, since it uses less digits than its factorization.

2782428726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347.

The product of its digits is 1204224, while the sum is 48.

The square root of 2782428726 is about 52748.7319847596. The cubic root of 2782428726 is about 1406.5052237047.

The spelling of 2782428726 in words is "two billion, seven hundred eighty-two million, four hundred twenty-eight thousand, seven hundred twenty-six".