2781773280 has 960 divisors, whose sum is σ = 12294374400. Its totient is φ = 582266880.

The previous prime is 2781773279. The next prime is 2781773321. The reversal of 2781773280 is 823771872.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35212281 + ... + 35212359.

It is an arithmetic number, because the mean of its divisors is an integer number (12806640).

Almost surely, 2^2781773280 is an apocalyptic number.

2781773280 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 2781773280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6147187200).

2781773280 is an abundant number, since it is smaller than the sum of its proper divisors (9512601120).

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

2781773280 is a wasteful number, since it uses less digits than its factorization.

2781773280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 2781773280 is about 52742.5187111878. The cubic root of 2781773280 is about 1406.3947733617.

The spelling of 2781773280 in words is "two billion, seven hundred eighty-one million, seven hundred seventy-three thousand, two hundred eighty".