2780305320 has 128 divisors (see below), whose sum is σ = 9373190400. Its totient is φ = 654618624.

The previous prime is 2780305301. The next prime is 2780305327. The reversal of 2780305320 is 235030872.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2780305327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2865 + ... + 74624.

It is an arithmetic number, because the mean of its divisors is an integer number (73228050).

Almost surely, 2^2780305320 is an apocalyptic number.

2780305320 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 2780305320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4686595200).

2780305320 is an abundant number, since it is smaller than the sum of its proper divisors (6592885080).

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

2780305320 is a wasteful number, since it uses less digits than its factorization.

2780305320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77539 (or 77535 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2780305320 is about 52728.6005882955. The cubic root of 2780305320 is about 1406.1473419184.

The spelling of 2780305320 in words is "two billion, seven hundred eighty million, three hundred five thousand, three hundred twenty".