2778132320 has 48 divisors (see below), whose sum is σ = 6590662848. Its totient is φ = 1106626560.

The previous prime is 2778132293. The next prime is 2778132359. The reversal of 2778132320 is 232318772.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2537 + ... + 74583.

It is an arithmetic number, because the mean of its divisors is an integer number (137305476).

Almost surely, 2^2778132320 is an apocalyptic number.

2778132320 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 2778132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295331424).

2778132320 is an abundant number, since it is smaller than the sum of its proper divisors (3812530528).

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

2778132320 is a wasteful number, since it uses less digits than its factorization.

2778132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72303 (or 72295 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 2778132320 is about 52707.9910450019. The cubic root of 2778132320 is about 1405.7809127902.

The spelling of 2778132320 in words is "two billion, seven hundred seventy-eight million, one hundred thirty-two thousand, three hundred twenty".