2782251360 has 576 divisors, whose sum is σ = 11416204800. Its totient is φ = 616412160.

The previous prime is 2782251337. The next prime is 2782251361. The reversal of 2782251360 is 631522872.

2782251360 is a `hidden beast` number, since 2 + 7 + 82 + 2 + 513 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782251361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21238495 + ... + 21238625.

It is an arithmetic number, because the mean of its divisors is an integer number (19819800).

Almost surely, 2^2782251360 is an apocalyptic number.

2782251360 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 2782251360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708102400).

2782251360 is an abundant number, since it is smaller than the sum of its proper divisors (8633953440).

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

2782251360 is a wasteful number, since it uses less digits than its factorization.

2782251360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2782251360 is about 52747.0507232395. The cubic root of 2782251360 is about 1406.4753371642.

The spelling of 2782251360 in words is "two billion, seven hundred eighty-two million, two hundred fifty-one thousand, three hundred sixty".