2780225028 has 288 divisors, whose sum is σ = 8634802176. Its totient is φ = 737807616.

The previous prime is 2780225017. The next prime is 2780225051. The reversal of 2780225028 is 8205220872.

2780225028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2780224983 and 2780225001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26992425 + ... + 26992527.

It is an arithmetic number, because the mean of its divisors is an integer number (29981952).

Almost surely, 2^2780225028 is an apocalyptic number.

2780225028 is a gapful number since it is divisible by the number (28) 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 2780225028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317401088).

2780225028 is an abundant number, since it is smaller than the sum of its proper divisors (5854577148).

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

2780225028 is a wasteful number, since it uses less digits than its factorization.

2780225028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2780225028 is about 52727.8392123174. The cubic root of 2780225028 is about 1406.1338058188.

The spelling of 2780225028 in words is "two billion, seven hundred eighty million, two hundred twenty-five thousand, twenty-eight".