2780211456 has 216 divisors, whose sum is σ = 8811487776. Its totient is φ = 836075520.

The previous prime is 2780211451. The next prime is 2780211463. The reversal of 2780211456 is 6541120872.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2780211456.

It is not an unprimeable number, because it can be changed into a prime (2780211451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4130736 + ... + 4131408.

Almost surely, 2^2780211456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2780211456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4405743888).

2780211456 is an abundant number, since it is smaller than the sum of its proper divisors (6031276320).

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

2780211456 is a wasteful number, since it uses less digits than its factorization.

2780211456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2780211456 is about 52727.7105135431. The cubic root of 2780211456 is about 1406.1315177451.

The spelling of 2780211456 in words is "two billion, seven hundred eighty million, two hundred eleven thousand, four hundred fifty-six".