2780505500 has 96 divisors (see below), whose sum is σ = 6316652160. Its totient is φ = 1067942400.

The previous prime is 2780505491. The next prime is 2780505503. The reversal of 2780505500 is 55050872.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2780505503) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3378089 + ... + 3378911.

It is an arithmetic number, because the mean of its divisors is an integer number (65798460).

Almost surely, 2^2780505500 is an apocalyptic number.

2780505500 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 2780505500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158326080).

2780505500 is an abundant number, since it is smaller than the sum of its proper divisors (3536146660).

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

2780505500 is a wasteful number, since it uses less digits than its factorization.

2780505500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 32.

The square root of 2780505500 is about 52730.4987649463. The cubic root of 2780505500 is about 1406.1810883104.

The spelling of 2780505500 in words is "two billion, seven hundred eighty million, five hundred five thousand, five hundred".